
Time bar (total: 14.2s)
| 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 42 to 28 computations (33.3% saved)
ival-pi: 6.0ms (19.6% of total)ival-div: 4.0ms (13.1% of total)ival-mult: 3.0ms (9.8% of total)...c/correct-round.rkt:119:19: 3.0ms (9.8% of total)ival-sqrt: 3.0ms (9.8% of total)ival-<: 3.0ms (9.8% of total)ival-add: 2.0ms (6.5% of total)ival-exp: 2.0ms (6.5% of total)ival-sub: 2.0ms (6.5% of total)ival-and: 1.0ms (3.3% of total)ival-neg: 1.0ms (3.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2.2s | 8256× | 0 | valid |
| 13.0ms | 68× | 0 | invalid |
ival-neg: 352.0ms (18.1% of total)...c/correct-round.rkt:119:19: 297.0ms (15.3% of total)ival-div: 236.0ms (12.1% of total)ival-mult: 222.0ms (11.4% of total)ival-add: 168.0ms (8.6% of total)ival-<: 166.0ms (8.5% of total)ival-sqrt: 159.0ms (8.2% of total)ival-sub: 123.0ms (6.3% of total)ival-exp: 108.0ms (5.6% of total)ival-pi: 59.0ms (3% of total)ival-and: 34.0ms (1.7% of total)const: 17.0ms (0.9% of total)backward-pass: 4.0ms (0.2% of total)| 2× | egg-herbie |
| 1866× | fma-define |
| 1660× | sum5-define |
| 1352× | sum3-define |
| 1336× | fnmadd-define |
| 1216× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 132 |
| 1 | 150 | 128 |
| 2 | 450 | 121 |
| 3 | 1610 | 114 |
| 4 | 5090 | 114 |
| 5 | 7559 | 114 |
| 0 | 18 | 21 |
| 1 | 48 | 21 |
| 2 | 116 | 20 |
| 3 | 278 | 19 |
| 4 | 469 | 19 |
| 5 | 1035 | 19 |
| 6 | 2693 | 19 |
| 7 | 4286 | 19 |
| 8 | 5799 | 19 |
| 9 | 7288 | 19 |
| 0 | 8304 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 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 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta 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))))) |
(recip (sum3 1 c (* (sqrt (fma cosTheta -2 1)) (/ (/ (rsqrt (PI)) cosTheta) (pow (exp cosTheta) cosTheta))))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta)))))) |
(recip (+ 1 (fnmadd (/ (sqrt (sum3 1 cosTheta cosTheta)) cosTheta) (/ (rsqrt (PI)) (pow (exp cosTheta) cosTheta)) c))) |
(/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(recip (fma (/ (sqrt (fma cosTheta -2 1)) cosTheta) (/ (rsqrt (PI)) (pow (exp cosTheta) cosTheta)) (- 1 c))) |
(neg (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta))))))) |
(recip (fmsub (/ (sqrt (sum3 1 cosTheta cosTheta)) cosTheta) (/ (rsqrt (PI)) (pow (exp cosTheta) cosTheta)) (+ 1 c))) |
(neg (/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))) |
(recip (+ -1 (fnmadd (/ (sqrt (fma cosTheta -2 1)) cosTheta) (/ (rsqrt (PI)) (pow (exp cosTheta) cosTheta)) c))) |
(/ 1 (+ (+ 1 cosTheta) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 c) c)) c)) (exp (* (neg c) c))))) |
(recip (fma (/ (sqrt (fma c -2 1)) c) (/ (rsqrt (PI)) (pow (exp c) c)) (+ 1 cosTheta))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (neg.f32 cosTheta) |
| 0 | 0 | - | 0 | - | (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
| 0 | 0 | - | 0 | - | (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) 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 | - | (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
| 0 | 0 | - | 0 | - | c |
| 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 | - | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
| 0 | 0 | - | 0 | - | cosTheta |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) c) |
| 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 (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 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (PI.f32)) |
| 129.0ms | 512× | 0 | valid |
Compiled 285 to 56 computations (80.4% saved)
ival-mult: 12.0ms (22.4% of total)ival-div: 11.0ms (20.6% of total)ival-sqrt: 10.0ms (18.7% of total)ival-add: 6.0ms (11.2% of total)ival-sub: 5.0ms (9.3% of total)ival-exp: 4.0ms (7.5% of total)ival-neg: 3.0ms (5.6% of total)ival-pi: 2.0ms (3.7% of total)const: 1.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)Compiled 24 to 17 computations (29.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| ▶ | 98.0% | (/.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))))) |
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 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.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 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.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 | 96 | (*.f32 (*.f32 (/.f32 #s(literal 1 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 | 96 | (+.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 | 96 | (/.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))))) |
| 1946× | fma-define |
| 1432× | fnmadd-define |
| 1216× | sum4-define |
| 1108× | fma-lowering-fma.f32 |
| 1108× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 217 |
| 1 | 72 | 217 |
| 2 | 158 | 198 |
| 3 | 336 | 198 |
| 4 | 519 | 198 |
| 5 | 1111 | 198 |
| 6 | 2893 | 198 |
| 7 | 4418 | 198 |
| 8 | 6025 | 198 |
| 9 | 7443 | 198 |
| 0 | 8147 | 198 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
c |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/ 1 (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
(/ 1 (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
1 |
(+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
(+ 1 c) |
c |
(/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))) |
(/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) |
(sqrt (+ 1 (* cosTheta -2))) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(* (sqrt (PI)) (exp (* cosTheta cosTheta))) |
(sqrt (PI)) |
(PI) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.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 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.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 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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/ 1 (sqrt (PI))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (+.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) |
(/ 1 (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.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 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.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 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))) |
(/.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))) |
(/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) |
(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) |
(* (sqrt (PI)) (exp (* cosTheta cosTheta))) |
(*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
| ✓ | accuracy | 99.9% | (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| ✓ | accuracy | 98.8% | (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | accuracy | 99.7% | (-.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 | 97.9% | (*.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))) |
| 76.0ms | 256× | 0 | valid |
Compiled 233 to 30 computations (87.1% saved)
ival-div: 10.0ms (23.4% of total)ival-mult: 10.0ms (23.4% of total)ival-add: 6.0ms (14.1% of total)ival-sqrt: 6.0ms (14.1% of total)ival-exp: 4.0ms (9.4% of total)ival-pi: 2.0ms (4.7% of total)ival-sub: 2.0ms (4.7% of total)const: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))> |
#<alt (/ 1 (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))))> |
#<alt (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))> |
#<alt (+ 1 c)> |
#<alt (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))> |
#<alt (/ 1 (sqrt (PI)))> |
#<alt (- (- 1 cosTheta) cosTheta)> |
#<alt (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta)> |
#<alt (sqrt (+ 1 (* cosTheta -2)))> |
| Outputs |
|---|
#<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)))))))> |
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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)))))))))))> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (- (+ (* 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 (/ (+ (* 1/16 (* (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))))))))> |
#<alt (+ (* 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)))))))))> |
#<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))))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<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)> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
#<alt (+ 1 (+ c (+ (* 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)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))> |
#<alt (+ 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))))))))> |
#<alt (+ 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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))))))))> |
#<alt (+ 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))))))))))> |
#<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 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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))> |
#<alt (+ (* 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)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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)))))))> |
#<alt (+ (* -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))))))))> |
#<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))))> |
#<alt (/ 1 cosTheta)> |
#<alt (/ (+ 1 (* -1 cosTheta)) cosTheta)> |
#<alt (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta)> |
#<alt (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta)> |
#<alt (* (sqrt (/ 1 cosTheta)) (sqrt -2))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 cosTheta))> |
#<alt (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))> |
#<alt (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))> |
#<alt (* (sqrt cosTheta) (sqrt -2))> |
#<alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))> |
#<alt (* cosTheta (+ (* -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)))))> |
#<alt (* cosTheta (+ (* -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))))))> |
#<alt (* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2))))> |
#<alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 7.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
| 5.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 4.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
| 3.0ms | c | @ | 0 | (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
| 1× | batch-egg-rewrite |
| 3418× | /-lowering-/.f32 |
| 3418× | /-lowering-/.f64 |
| 3038× | *-lowering-*.f32 |
| 3038× | *-lowering-*.f64 |
| 1718× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 148 |
| 1 | 199 | 143 |
| 2 | 1902 | 139 |
| 0 | 8558 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/ 1 (+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
(+ (+ 1 c) (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
(+ 1 c) |
(/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))) |
(/ 1 (sqrt (PI))) |
(- (- 1 cosTheta) cosTheta) |
(/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) |
(sqrt (+ 1 (* cosTheta -2))) |
| Outputs |
|---|
(neg.f32 (/.f32 #s(literal -1 binary32) (+.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta))) #s(literal -1 binary32))) |
(pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)))) #s(literal -1 binary32)) |
(pow.f32 (pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
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(-.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 (/.f32 #s(literal 1 binary32) (+.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 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 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))) (/.f32 (*.f32 cosTheta cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 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 #s(literal 2 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 #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 #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)))) |
(neg.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(exp.f32 (*.f32 (log.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))) |
(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)) |
(pow.f32 (/.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)) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 cosTheta)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.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) (neg.f32 (neg.f32 (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #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 #s(literal -1 binary32) (neg.f32 (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1/2 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.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 (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 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) 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 (neg.f32 cosTheta))) |
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal -1 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 cosTheta)) |
(/.f32 (neg.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 (neg.f32 (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (/.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 cosTheta)) |
(*.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)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 (/.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 (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) (neg.f32 cosTheta))) |
(*.f32 (/.f32 #s(literal 1 binary32) 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) 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 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) cosTheta) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) #s(literal 1 binary32))) |
(*.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 #s(literal 1 binary32) cosTheta)) |
(*.f32 (/.f32 #s(literal -1 binary32) cosTheta) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) cosTheta)) |
(exp.f32 (*.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/4 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) |
(/.f32 #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)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32)))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)))))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1/2 binary32)) (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 (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 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32))) |
(/.f32 (sqrt.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))))) (sqrt.f32 (neg.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 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))))) (sqrt.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))))) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1/2 binary32))) (neg.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 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)))) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -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)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.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 (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 #s(literal 1 binary32) (+.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)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) #s(literal 1/2 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))))) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32))) |
| 1× | egg-herbie |
| 6318× | *-lowering-*.f32 |
| 6318× | *-lowering-*.f64 |
| 3972× | +-lowering-+.f64 |
| 3972× | +-lowering-+.f32 |
| 1268× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 709 | 6977 |
| 1 | 2312 | 6498 |
| 0 | 8300 | 6498 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(* (/ 1 cosTheta) (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 (+ 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))))))))))) |
(* 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)))) (/ (sqrt -2) (exp (pow cosTheta 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)))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(- (+ (* 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)))))))) |
(- (+ (* -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)))))))) |
(/ 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 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))))) |
(- (/ 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)))))))))) |
(- (+ (* -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)))))))))) |
(+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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 |
(* -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 (* 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) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
(+ 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 (+ 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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))))))) |
(+ 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)))))))))) |
1 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 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)))) |
(+ (* 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))))) |
(+ (* -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)))))) |
(+ (* -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))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(+ (* -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 (* (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))))))) |
(+ (* -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)))))))) |
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)))) |
(/ 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 |
(+ 1 (* -1 cosTheta)) |
(+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) |
(+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) |
(* (sqrt cosTheta) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) |
(* cosTheta (+ (* -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))))) |
(* cosTheta (+ (* -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 cosTheta) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))) |
| Outputs |
|---|
(/ 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 (+.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 (-.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 (-.f32 (+.f32 #s(literal 1 binary32) c) (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 (+.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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.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))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #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)))) |
(- (+ (* -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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (*.f32 cosTheta (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))) (*.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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) #s(literal -1/8 binary32)))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #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)))) |
(- (+ (* -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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (*.f32 cosTheta (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))) (*.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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) #s(literal -1/8 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.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))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 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 (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (PI.f32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (+.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 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) #s(literal -2 binary32))) (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))) (*.f32 (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #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 (/.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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) #s(literal -1/8 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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) |
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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)))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
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(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
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(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
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(* (/ 1 cosTheta) (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 (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 #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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.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)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.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))) (*.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))))) |
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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))))) |
(neg.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
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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))))))) |
(+.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 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) #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 (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 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 cosTheta (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) 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 (*.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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.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 (*.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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.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))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (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 (*.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 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
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(/.f32 #s(literal 1 binary32) c) |
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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))))))))))) |
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
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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)))) |
(+.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 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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)) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.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 #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 #s(literal -3/2 binary32) cosTheta))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (-.f32 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)))) (/ (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 #s(literal 1 binary32) c)) |
(+ 1 (+ c (+ (* 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 #s(literal 1 binary32) c)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(+.f32 (+.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 #s(literal 1 binary32) c)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (+.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 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (*.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))) (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
(+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 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)))))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (exp.f32 (*.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))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (-.f32 c (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (exp.f32 (*.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))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (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 #s(literal 1 binary32) (+.f32 c (+.f32 (+.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))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.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))) (* -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 (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 #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)))) (/ (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 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (*.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))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* -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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (*.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))) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* -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 #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))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (*.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))) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(neg.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (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 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (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 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (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 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32))) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32))) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32))) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(*.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)) |
(/ 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 (*.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))))) (*.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 (*.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))))) (*.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))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (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 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (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 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (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)))) (+ (* -1/16 (* (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 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))) (*.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)))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) |
(+.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)))) |
(* (sqrt cosTheta) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 cosTheta)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) |
(*.f32 cosTheta (+.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)))))) |
(* cosTheta (+ (* -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 cosTheta (+.f32 (+.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))))) (*.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)))))) |
(* cosTheta (+ (* -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 cosTheta (+.f32 (+.f32 (+.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))))) (*.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)))))) |
(* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1 binary32) (sqrt.f32 cosTheta))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))))) (+.f32 (*.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 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))) |
Compiled 29588 to 3318 computations (88.8% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 22 | 765 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 745 | 22 | 767 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (pow.f32 (pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 92.4% | (/.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 (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) c))) |
| ▶ | 98.6% | (/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
| 96.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| 92.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| 95.4% | (/.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))) | |
| 92.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| ▶ | 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) 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))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.9% | (/.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 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) | |
| 97.8% | (/.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))) | |
| 97.8% | (/.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)))))) | |
| ▶ | 5.0% | (/.f32 #s(literal 1 binary32) c) |
| 58.6% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta) #s(literal 2 binary32)))) (-.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta))) | |
| 58.3% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)) #s(literal 2 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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| ▶ | 96.1% | (*.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))))) |
| 93.2% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 90.4% | (exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta))) #s(literal -1 binary32))) |
Compiled 1034 to 684 computations (33.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))) |
| ✓ | cost-diff | 64 | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) |
| ✓ | cost-diff | 64 | (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))))) |
| ✓ | cost-diff | 64 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | cost-diff | 0 | (+.f32 (/.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) c)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.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) c))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
| 2158× | sum4-define |
| 2002× | sum3-define |
| 1532× | fnmsub-define |
| 1336× | *-lowering-*.f32 |
| 1336× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 387 |
| 1 | 98 | 360 |
| 2 | 222 | 358 |
| 3 | 631 | 355 |
| 4 | 2469 | 355 |
| 5 | 5877 | 355 |
| 0 | 8007 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))))) |
1 |
(+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)))) |
(+ 1 c) |
c |
(/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))) |
(pow (+ 1 (* cosTheta -2)) 1/2) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
1/2 |
(* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(* (pow (PI) 1/2) cosTheta) |
(pow (PI) 1/2) |
(PI) |
(/ 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 (+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))) |
1 |
(+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)) |
(/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) |
(sqrt (/ (+ 1 (* cosTheta -2)) (PI))) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(PI) |
(* cosTheta (exp (* cosTheta cosTheta))) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(+ 1 c) |
c |
(/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))))) |
1 |
(+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))))) |
(+ 1 c) |
c |
(/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))) |
(* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))) |
(sqrt (/ (PI) (+ 1 (* cosTheta -2)))) |
(/ (PI) (+ 1 (* cosTheta -2))) |
(PI) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(/ 1 cosTheta) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)))) |
(+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(pow (+ 1 (* cosTheta -2)) 1/2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 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) |
1/2 |
#s(literal 1/2 binary32) |
(* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(* (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 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 cosTheta (PI.f32)) (+.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 cosTheta (PI.f32)) (+.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 cosTheta (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) |
(+.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 cosTheta (PI.f32)) |
(/ 1 (+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 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) |
(+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* 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 (* cosTheta -2)) (PI))) (* cosTheta (exp (* 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 (* 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) |
(* cosTheta (exp (* cosTheta cosTheta))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))))) |
(* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))) |
(*.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) |
(sqrt (/ (PI) (+ 1 (* cosTheta -2)))) |
(sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(/ (PI) (+ 1 (* cosTheta -2))) |
(/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(PI) |
(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) |
(/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))))) |
| ✓ | accuracy | 99.0% | (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))) |
| ✓ | 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 (/.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) c))) |
| ✓ | accuracy | 98.1% | (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | accuracy | 97.5% | (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
| ✓ | accuracy | 99.0% | (*.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))))) |
| ✓ | accuracy | 99.0% | (*.f32 cosTheta (PI.f32)) |
| ✓ | accuracy | 97.0% | (-.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% | (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
| ✓ | accuracy | 99.0% | (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
| ✓ | accuracy | 99.0% | (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) |
| 168.0ms | 256× | 0 | valid |
Compiled 424 to 42 computations (90.1% saved)
ival-mult: 44.0ms (39% of total)ival-div: 24.0ms (21.3% of total)ival-pow: 22.0ms (19.5% of total)ival-add: 7.0ms (6.2% of total)ival-sqrt: 7.0ms (6.2% of total)ival-exp: 4.0ms (3.5% of total)ival-sub: 2.0ms (1.8% of total)ival-pi: 1.0ms (0.9% of total)const: 1.0ms (0.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)))))> |
#<alt (+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))))> |
#<alt (+ 1 c)> |
#<alt (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)))> |
#<alt (/ 1 c)> |
#<alt (PI)> |
#<alt (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))> |
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))> |
#<alt (/ 1 (+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)))> |
#<alt (+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))> |
#<alt (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta))))> |
#<alt (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))> |
#<alt (/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))))))> |
#<alt (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))))> |
#<alt (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))))> |
#<alt (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))> |
#<alt (* (pow (PI) 1/2) cosTheta)> |
#<alt (pow (+ 1 (* cosTheta -2)) 1/2)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))))> |
#<alt (/ (+ 1 (* cosTheta -2)) (PI))> |
#<alt (/ (exp (* cosTheta cosTheta)) (/ 1 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)))))))> |
#<alt (+ (* 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)))))))> |
#<alt (+ (* 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)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c)> |
#<alt (/ (- (+ 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)> |
#<alt (/ (- (+ 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)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<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 (* -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))))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<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)> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
#<alt (+ 1 (+ c (+ (* 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)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))> |
#<alt (+ 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))))))))> |
#<alt (+ 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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))))))))> |
#<alt (+ 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))))))))))> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))> |
#<alt (+ (* 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)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI))))))))))))))))> |
#<alt (* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (sqrt -1/2)))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2)))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))))> |
#<alt (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (pow cosTheta 2)) (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI)))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2)))))))> |
#<alt (* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))> |
#<alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))))))> |
#<alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (exp (pow cosTheta 2)) (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI))))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))))))> |
#<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 1> |
#<alt (+ 1 (* -1 cosTheta))> |
#<alt (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))> |
#<alt (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))> |
#<alt (* (sqrt cosTheta) (sqrt -2))> |
#<alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))> |
#<alt (* cosTheta (+ (* -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)))))> |
#<alt (* cosTheta (+ (* -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))))))> |
#<alt (* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2))))> |
#<alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))> |
#<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 (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))))> |
#<alt (* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI)))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI)))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI)))))> |
#<alt (* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI)))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI)))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI)))))> |
#<alt (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))> |
#<alt (+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))))> |
#<alt (+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))))> |
#<alt (+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)))> |
#<alt (* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)))> |
#<alt (* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI)))))> |
#<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> |
#<alt (* cosTheta (+ 1 (pow cosTheta 2)))> |
#<alt (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* 1/2 (pow cosTheta 2))))))> |
#<alt (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
#<alt (* cosTheta (exp (pow cosTheta 2)))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))))) |
| 6.0ms | cosTheta | @ | -inf | (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)) |
| 4.0ms | cosTheta | @ | -inf | (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))) |
| 4.0ms | cosTheta | @ | 0 | (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))))) |
| 1.0ms | cosTheta | @ | inf | (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))) |
| 1× | batch-egg-rewrite |
| 3102× | *-lowering-*.f32 |
| 3102× | *-lowering-*.f64 |
| 2628× | fma-lowering-fma.f32 |
| 2628× | fma-lowering-fma.f64 |
| 1730× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 259 |
| 1 | 285 | 231 |
| 2 | 3071 | 230 |
| 0 | 8717 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))))) |
(+ (+ 1 c) (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta)))) |
(+ 1 c) |
(/ (pow (+ 1 (* cosTheta -2)) 1/2) (* (exp (* cosTheta cosTheta)) (* (pow (PI) 1/2) cosTheta))) |
(/ 1 c) |
(PI) |
(* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(/ 1 (+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))) |
(+ (/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)) |
(/ (sqrt (/ (+ 1 (* cosTheta -2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) |
(sqrt (/ (+ 1 (* cosTheta -2)) (PI))) |
(/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))))) |
(+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))))) |
(/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)))) |
(* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta))) |
(* (pow (PI) 1/2) cosTheta) |
(pow (+ 1 (* cosTheta -2)) 1/2) |
(sqrt (/ 1 (PI))) |
(* cosTheta (PI)) |
(* cosTheta (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(/ (exp (* cosTheta cosTheta)) (/ 1 cosTheta)) |
| Outputs |
|---|
(neg.f32 (/.f32 #s(literal -1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
(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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))) |
(/.f32 #s(literal -1 binary32) (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))) |
(*.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/2 binary32)) (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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #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 (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)))) #s(literal 3 binary32)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.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)))) (-.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)))) (+.f32 #s(literal 1 binary32) c))))) |
(*.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 (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)))) #s(literal 3 binary32)))) (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(*.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 (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)))) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) #s(literal -1 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 (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)))) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.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)))) (-.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)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.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)))) (+.f32 #s(literal 1 binary32) c))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (pow.f32 (/.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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (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)))) #s(literal 2 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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.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)))) #s(literal 2 binary32)))) (pow.f32 (/.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
(+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+.f32 c (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+.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 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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c) |
(+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (pow.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)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) (-.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.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)))) (-.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)))) (+.f32 #s(literal 1 binary32) c)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (pow.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)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.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)))) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) c (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(fma.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 c #s(literal 1 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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(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 (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) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)) |
(fma.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)))) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 cosTheta (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 #s(literal 1 binary32) c)) |
(fma.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) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) (+.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 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 (+.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))))) |
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (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 #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 (+.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 #s(literal 1 binary32) (*.f32 c c)) (/.f32 #s(literal 1 binary32) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 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 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)) |
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(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)) |
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(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 #s(literal -1 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 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/3 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal -1 binary32))) |
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) |
(*.f32 cosTheta (PI.f32)) |
(*.f32 (PI.f32) cosTheta) |
(*.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) cosTheta)) |
(*.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(+.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 cosTheta (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))))) |
(+.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))) cosTheta)) |
(fma.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 cosTheta (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))))) |
(fma.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))) cosTheta)) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta (*.f32 cosTheta (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))))) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta (*.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))) cosTheta)) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) cosTheta) (*.f32 cosTheta (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))))) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) cosTheta) (*.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))) cosTheta)) |
(fma.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 cosTheta (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))))) |
(fma.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))) cosTheta)) |
(/.f32 (*.f32 cosTheta (-.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32)))) (+.f32 (PI.f32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 cosTheta (-.f32 (PI.f32) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32))) cosTheta) (+.f32 (PI.f32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32))) cosTheta) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 cosTheta (-.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (-.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (PI.f32)))) cosTheta) |
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (neg.f32 (PI.f32)))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (PI.f32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (neg.f32 (PI.f32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)))) (*.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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)))) #s(literal 1 binary32)) (*.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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (neg.f32 (PI.f32)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (neg.f32 (neg.f32 (PI.f32)))) |
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (PI.f32)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (PI.f32)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1 binary32)) (neg.f32 (PI.f32))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) |
(/.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 1/2 binary32))) |
(/.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 1/3 binary32))) |
(*.f32 #s(literal 1 binary32) (/.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))) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32))) |
(*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) #s(literal -1 binary32))) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32)))) |
(*.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.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 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) |
(neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal -1 binary32) cosTheta))) |
(neg.f32 (/.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) cosTheta))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32))) |
(pow.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 1 binary32))) |
(/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal -1 binary32) cosTheta)) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) |
(*.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(*.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (neg.f32 cosTheta)) |
| 1× | egg-herbie |
| 6902× | *-lowering-*.f32 |
| 6902× | *-lowering-*.f64 |
| 3794× | +-lowering-+.f64 |
| 3794× | +-lowering-+.f32 |
| 1288× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 641 | 11186 |
| 1 | 2193 | 10369 |
| 0 | 8244 | 10369 |
| 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)) |
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(* 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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(- (/ 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)))))))))) |
(- (+ (* -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)))))))))) |
(+ 1 (* (/ 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)))) |
(* 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 (* 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 (* 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) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
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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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))))))) |
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1 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 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)))) |
(+ (* 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))))) |
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(+ (* -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))))))) |
(+ (* -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)))))))) |
(/ 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 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* 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 (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))) |
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(* 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)))) (/ (sqrt -2) (exp (pow cosTheta 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)))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(- (+ (* 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)))))))) |
(- (+ (* -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 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(* (/ 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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c |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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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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(sqrt (/ 1 (PI))) |
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(* (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))))) |
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(* -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)))))) |
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(/ 1 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) |
(/ 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))))))))))) |
(* 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)))) (/ (sqrt -2) (exp (pow cosTheta 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)))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(- (+ (* 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)))))))) |
(- (+ (* -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)))))))) |
(/ 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 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))))) |
(- (/ 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)))))))))) |
(- (+ (* -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)))))))))) |
(+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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 |
(* -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 (* 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) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
(+ 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 (+ 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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))))))) |
(+ 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)))))))))) |
(* (/ 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)))) |
(+ (* 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))))) |
(+ (* -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)))))) |
(+ (* -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))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(+ (* -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 (* (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))))))) |
(+ (* -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)))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))))))))))))) |
(* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (sqrt -1/2))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2)))))) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (pow cosTheta 2)) (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI)))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))))) |
(* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (exp (pow cosTheta 2)) (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI))))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
1 |
(+ 1 (* -1 cosTheta)) |
(+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) |
(+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) |
(* (sqrt cosTheta) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) |
(* cosTheta (+ (* -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))))) |
(* cosTheta (+ (* -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 cosTheta) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))) |
(* 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 (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)))))))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* 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))) |
(* 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))))) |
(/ 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 |
(* cosTheta (+ 1 (pow cosTheta 2))) |
(* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* 1/2 (pow cosTheta 2)))))) |
(* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
(* cosTheta (exp (pow cosTheta 2))) |
| 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 #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 (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) (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 (+ (* -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 #s(literal 1 binary32) (-.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 (/.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 (/.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 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) (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)) |
(/.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 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)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 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)) |
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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 (-.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))))))))))) |
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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))))))))))) |
(*.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 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #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 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (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 #s(literal 1 binary32) (+.f32 c (/.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)))))))) |
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(+ (* 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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(+ 1 (* (/ 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)))) |
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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 (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) cosTheta))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
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(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
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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))))) (* 1/8 (* (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 (/.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 cosTheta cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) |
(+ 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 #s(literal 1 binary32) (+.f32 (+.f32 (-.f32 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)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.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 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) (/.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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.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))) (* -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 (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 #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)))) (/ (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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.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 (*.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (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 (*.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (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 (/.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 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 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 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 -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 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 -1 binary32)) (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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.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 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 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 -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (*.f32 cosTheta 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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* 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 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* c (* cosTheta (PI))) |
(*.f32 cosTheta (*.f32 (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 cosTheta (*.f32 (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 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (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 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))) |
(neg.f32 (*.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))) |
(neg.f32 (*.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))) |
(neg.f32 (*.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 (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 (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 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #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 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (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 #s(literal 1 binary32) (+.f32 c (/.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 (/.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 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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(- (/ 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)))))))))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
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c |
(* 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)))) |
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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 |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (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))) (* -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 (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) |
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(* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))) |
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(+ (* 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))))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 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 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)))))) |
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(+ (* -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)))))))) |
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(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)))))))) |
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(+ (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 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))) |
(* 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 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.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 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.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 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (neg.f32 cosTheta)) |
(* -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))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (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)))))))) |
(*.f32 (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (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))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) (neg.f32 cosTheta)) |
(/ 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 #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 (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) (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 (+ (* -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 #s(literal 1 binary32) (-.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 (/.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 (/.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 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) (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)) |
(/.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 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)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 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 (/.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)))))) (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 (+.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 (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 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #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 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (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 #s(literal 1 binary32) (+.f32 c (/.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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c |
(* 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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) #s(literal 1 binary32)) |
(* 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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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)) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.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 #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 #s(literal -3/2 binary32) cosTheta))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (-.f32 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)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.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 (+ c (+ (* 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 #s(literal 1 binary32) (+.f32 c (/.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(+.f32 (+.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) |
(+.f32 #s(literal 1 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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 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 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))))) c))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
(-.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)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ 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)))))))) |
(+.f32 (-.f32 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)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+ 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))))) (* 1/8 (* (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 (/.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 cosTheta cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) |
(+ 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 #s(literal 1 binary32) (+.f32 (+.f32 (-.f32 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)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.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 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) (/.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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 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 (*.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 (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 #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)))) (/ (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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.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 (*.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (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 (*.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))))) (*.f32 (exp.f32 (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (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 (/.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 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 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 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 -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 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 -1 binary32)) (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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.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 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))))) (sqrt.f32 #s(literal -1 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 -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (*.f32 cosTheta 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))))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.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)) (* cosTheta (sqrt (PI))))) |
(*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -3 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (PI.f32) #s(literal -8 binary32)) (*.f32 #s(literal 3 binary32) (PI.f32))))))))))))) |
(* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (sqrt -1/2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (*.f32 cosTheta (PI.f32))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))) |
(*.f32 cosTheta (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1/2 binary32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2)))))) |
(*.f32 cosTheta (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))))) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (pow cosTheta 2)) (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI)))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta))))) (/.f32 (*.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))))) (exp.f32 (*.f32 cosTheta cosTheta))) (+.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))) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2)))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (*.f32 cosTheta (PI.f32))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (exp (pow cosTheta 2)) (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI))))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (*.f32 (PI.f32) #s(literal 1/16 binary32)) (*.f32 #s(literal -1/64 binary32) (/.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1/2 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (neg.f32 cosTheta)) |
(* 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 |
#s(literal 1 binary32) |
(+ 1 (* -1 cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32)))) |
(+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) |
(+.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)))) |
(* (sqrt cosTheta) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 cosTheta)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) |
(*.f32 cosTheta (+.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 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) |
(* cosTheta (+ (* -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 cosTheta (+.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (+.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 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))) |
(* cosTheta (+ (* -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 cosTheta (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 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) (pow.f32 cosTheta #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (*.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 cosTheta) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1 binary32) (sqrt.f32 cosTheta))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (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 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (*.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)))))) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 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)) |
(* 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 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (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)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (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))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (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))))))) |
(* (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 cosTheta cosTheta) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (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))))))) |
(* (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 cosTheta (*.f32 cosTheta (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 cosTheta (*.f32 cosTheta (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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* 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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* 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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* 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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.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)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.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)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.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)) (neg.f32 c)) |
(/ 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))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (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))) |
(*.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))))) |
cosTheta |
(* cosTheta (+ 1 (pow cosTheta 2))) |
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
(* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* 1/2 (pow cosTheta 2)))))) |
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))) |
(* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))) |
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (exp (pow cosTheta 2))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
Compiled 54151 to 4983 computations (90.8% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1608 | 23 | 1631 |
| Fresh | 11 | 6 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1623 | 30 | 1653 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (pow.f32 (pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 92.4% | (/.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 (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 #s(literal 1 binary32) c))) | |
| ▶ | 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
| 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 (/.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 binary32))) | |
| 92.2% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) | |
| ▶ | 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
| ▶ | 92.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| 97.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) | |
| ▶ | 98.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
| 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) | |
| 98.3% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) | |
| 96.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) | |
| 92.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) | |
| 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) | |
| 97.8% | (/.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))) | |
| ✓ | 5.0% | (/.f32 #s(literal 1 binary32) c) |
| 58.5% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.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)))) (+.f32 #s(literal 1 binary32) c))) | |
| 35.6% | (*.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 (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)))) #s(literal 3 binary32)))) (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) | |
| 59.5% | (*.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))))))) | |
| 95.6% | (*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| 96.1% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) | |
| 96.0% | (*.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))))) | |
| 93.2% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) c)))) | |
| 93.2% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 96.1% | (*.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 cosTheta (*.f32 cosTheta (PI.f32))))) | |
| ▶ | 11.0% | (neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
| 90.4% | (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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
Compiled 1411 to 898 computations (36.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) |
| ✓ | cost-diff | 128 | (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | cost-diff | 128 | (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | cost-diff | 128 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.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) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| ✓ | cost-diff | 0 | (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
| ✓ | cost-diff | 0 | (*.f32 cosTheta (PI.f32)) |
| ✓ | cost-diff | 0 | (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) |
| ✓ | cost-diff | 0 | (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
| ✓ | cost-diff | 0 | (neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
| ✓ | cost-diff | 64 | (/.f32 (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) (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | cost-diff | 64 | (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
| ✓ | cost-diff | 64 | (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| ✓ | cost-diff | 64 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
| 2066× | fma-lowering-fma.f32 |
| 2066× | fma-lowering-fma.f64 |
| 1584× | *-lowering-*.f32 |
| 1584× | *-lowering-*.f64 |
| 1522× | fma-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 393 |
| 1 | 114 | 381 |
| 2 | 260 | 362 |
| 3 | 523 | 359 |
| 4 | 1141 | 359 |
| 5 | 2103 | 355 |
| 6 | 3914 | 355 |
| 7 | 6854 | 355 |
| 0 | 8237 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))))) |
1 |
(+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))))) |
(+ 1 c) |
c |
(/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))) |
(/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))) |
(pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(PI) |
-1/2 |
(/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))) |
(/ 1 cosTheta) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(neg (* c (* cosTheta (* cosTheta (PI))))) |
(* c (* cosTheta (* cosTheta (PI)))) |
c |
(* cosTheta (* cosTheta (PI))) |
cosTheta |
(* cosTheta (PI)) |
(PI) |
(/ 1 (+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c))) |
1 |
(+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c)) |
(/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) |
(* (- 1 cosTheta) (sqrt (/ 1 (PI)))) |
(- 1 cosTheta) |
cosTheta |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(PI) |
(+ 1 c) |
c |
(/ 1 (+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
1 |
(+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
(+ 1 c) |
c |
(/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))) |
(/ 1 cosTheta) |
cosTheta |
(* (sqrt (PI)) (exp (* cosTheta cosTheta))) |
(sqrt (PI)) |
(PI) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(/ 1 (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))) |
1 |
(+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)) |
(/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) |
(sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) |
(* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI)))) |
cosTheta |
(+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))) |
(/ 1 (* cosTheta (PI))) |
(* cosTheta (PI)) |
(PI) |
(/ -2 (PI)) |
-2 |
(* cosTheta (exp (* cosTheta cosTheta))) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(+ 1 c) |
c |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))))) |
(+.f32 c (+.f32 #s(literal 1 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)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta 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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* 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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(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) |
(/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(neg (* c (* cosTheta (* cosTheta (PI))))) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* c (* cosTheta (* cosTheta (PI)))) |
(*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
c |
(* cosTheta (* cosTheta (PI))) |
(*.f32 cosTheta (*.f32 cosTheta (PI.f32))) |
cosTheta |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c)) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.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)))) 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI) |
(PI.f32) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ 1 (+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32)))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(* (sqrt (PI)) (exp (* cosTheta cosTheta))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(/ 1 (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 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) |
(+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* 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 (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* 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 (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) |
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
cosTheta |
(+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) |
(/ 1 (* cosTheta (PI))) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(PI) |
(PI.f32) |
(/ -2 (PI)) |
(/.f32 #s(literal -2 binary32) (PI.f32)) |
-2 |
#s(literal -2 binary32) |
(* cosTheta (exp (* cosTheta cosTheta))) |
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (*.f32 cosTheta (PI.f32)) |
| ✓ | accuracy | 98.7% | (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
| ✓ | accuracy | 98.1% | (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | accuracy | 97.5% | (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) |
| ✓ | accuracy | 100.0% | (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
| ✓ | accuracy | 99.9% | (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| ✓ | accuracy | 98.8% | (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | accuracy | 99.6% | (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
| ✓ | accuracy | 98.2% | (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (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% | (PI.f32) |
| ✓ | accuracy | 99.7% | (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
| ✓ | accuracy | 99.6% | (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) |
| ✓ | accuracy | 99.0% | (*.f32 cosTheta (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)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.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)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) |
| 457.0ms | 256× | 0 | valid |
Compiled 433 to 45 computations (89.6% saved)
ival-div: 42.0ms (47.3% of total)ival-mult: 15.0ms (16.9% of total)ival-add: 9.0ms (10.1% of total)ival-pow: 8.0ms (9% of total)ival-sqrt: 6.0ms (6.8% of total)ival-exp: 5.0ms (5.6% of total)ival-pi: 1.0ms (1.1% of total)ival-sub: 1.0ms (1.1% of total)const: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))))))> |
#<alt (+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))))> |
#<alt (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))))> |
#<alt (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))> |
#<alt (neg (* c (* cosTheta (* cosTheta (PI)))))> |
#<alt (* c (* cosTheta (* cosTheta (PI))))> |
#<alt (* cosTheta (* cosTheta (PI)))> |
#<alt (* cosTheta (PI))> |
#<alt (/ 1 (+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c)))> |
#<alt (+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c))> |
#<alt (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta)> |
#<alt (* (- 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ 1 (+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))))> |
#<alt (+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))> |
#<alt (+ 1 c)> |
#<alt (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))> |
#<alt (/ 1 (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)))> |
#<alt (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))> |
#<alt (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta))))> |
#<alt (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI)))))> |
#<alt (/ (+ 1 (* cosTheta -2)) (PI))> |
#<alt (PI)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (* (sqrt (PI)) (exp (* cosTheta cosTheta)))> |
#<alt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))> |
| 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)))))))> |
#<alt (+ (* 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)))))))> |
#<alt (+ (* 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)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c)> |
#<alt (/ (- (+ 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)> |
#<alt (/ (- (+ 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)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (- (+ (* 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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#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 3)))) (/ 1 (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2)))) (/ 1 (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c))) c)> |
#<alt (/ (- (+ 1 (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2) (pow c 2))) (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c))) c)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2) (pow c 2))) (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2) c) (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 3) c) (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2)) c)) (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) c)) 1) c))> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
#<alt (+ 1 (+ c (+ (* 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)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))))))> |
#<alt (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))> |
#<alt (+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))))> |
#<alt (+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))))> |
#<alt (+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))))> |
#<alt c> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1)))> |
#<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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))> |
#<alt (+ (* 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)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))))> |
#<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 -2) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 3)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 5)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (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 (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI))))> |
#<alt (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI)))))))> |
#<alt (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 2)))> |
#<alt (* (sqrt (PI)) (exp (pow cosTheta 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))))))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | cosTheta | @ | -inf | (/ 1 (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))) |
| 3.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))))) |
| 1.0ms | c | @ | 0 | (/ 1 (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))) |
| 1.0ms | c | @ | 0 | (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)) |
| 1.0ms | cosTheta | @ | -inf | (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) |
| 1× | batch-egg-rewrite |
| 3196× | fma-lowering-fma.f32 |
| 3196× | fma-lowering-fma.f64 |
| 2372× | *-lowering-*.f32 |
| 2372× | *-lowering-*.f64 |
| 2074× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 286 |
| 1 | 330 | 262 |
| 2 | 3583 | 262 |
| 0 | 8195 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))))) |
(+ (+ 1 c) (/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))))) |
(/ 1 (/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta))))) |
(/ (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) (/ (/ 1 cosTheta) (exp (* cosTheta cosTheta)))) |
(neg (* c (* cosTheta (* cosTheta (PI))))) |
(* c (* cosTheta (* cosTheta (PI)))) |
(* cosTheta (* cosTheta (PI))) |
(* cosTheta (PI)) |
(/ 1 (+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c))) |
(+ (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (+ 1 c)) |
(/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) |
(* (- 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ 1 (+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))))) |
(+ (+ 1 c) (/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta))))) |
(+ 1 c) |
(/ (/ 1 cosTheta) (* (sqrt (PI)) (exp (* cosTheta cosTheta)))) |
(/ 1 (+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c))) |
(+ (/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) (+ 1 c)) |
(/ (sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) (* cosTheta (exp (* cosTheta cosTheta)))) |
(sqrt (* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI))))) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(PI) |
(sqrt (/ 1 (PI))) |
(* (sqrt (PI)) (exp (* cosTheta cosTheta))) |
(* cosTheta (+ (/ 1 (* cosTheta (PI))) (/ -2 (PI)))) |
| Outputs |
|---|
(neg.f32 (/.f32 #s(literal -1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
(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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))) |
(/.f32 #s(literal -1 binary32) (neg.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) #s(literal 1 binary32)) |
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(pow.f32 (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (neg.f32 (PI.f32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) (*.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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1 binary32)) (*.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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (neg.f32 (PI.f32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (neg.f32 (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (PI.f32)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1 binary32)) (neg.f32 (PI.f32))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) (/.f32 #s(literal 1 binary32) (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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (PI.f32)) |
(/.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 1/2 binary32))) |
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 #s(literal 1 binary32) (/.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))) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(PI.f32) |
(log1p.f32 (expm1.f32 (PI.f32))) |
(exp.f32 (log.f32 (PI.f32))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32))) |
(pow.f32 (PI.f32) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(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)) |
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 (PI.f32) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) |
(sqrt.f32 (*.f32 (PI.f32) (PI.f32))) |
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 #s(literal 1 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 1 binary32)) |
(*.f32 (PI.f32) (log.f32 (exp.f32 #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (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)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(log.f32 (exp.f32 (PI.f32))) |
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32)))) |
(expm1.f32 (log1p.f32 (PI.f32))) |
(exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log.f32 (PI.f32))) #s(literal 1/2 binary32))) |
(pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (PI.f32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 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 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) |
(+.f32 (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(+.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(fma.f32 #s(literal 1 binary32) (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(fma.f32 cosTheta (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta) (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(fma.f32 (*.f32 cosTheta #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) cosTheta (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(fma.f32 (/.f32 #s(literal -2 binary32) (PI.f32)) cosTheta (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(/.f32 (+.f32 (pow.f32 (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) (-.f32 (*.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))))))) |
(/.f32 (-.f32 (*.f32 (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32)))) (*.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))))) (-.f32 (/.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))))) |
(/.f32 (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 cosTheta (PI.f32))))) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal -8 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (*.f32 (/.f32 #s(literal -2 binary32) (PI.f32)) (-.f32 (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(/.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32))) |
(/.f32 (*.f32 (+.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 cosTheta (PI.f32)))) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (*.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal -8 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) cosTheta) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (*.f32 (/.f32 #s(literal -2 binary32) (PI.f32)) (-.f32 (/.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(/.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (PI.f32)))) cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta) |
| 1× | egg-herbie |
| 5462× | *-lowering-*.f32 |
| 5462× | *-lowering-*.f64 |
| 3858× | +-lowering-+.f64 |
| 3858× | +-lowering-+.f32 |
| 1876× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 996 | 10282 |
| 1 | 3356 | 9405 |
| 0 | 8605 | 9405 |
| 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))))))))))) |
(* 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)))) (/ (sqrt -2) (exp (pow cosTheta 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)))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(- (+ (* 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)))))))) |
(- (+ (* -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)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))) |
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(- (+ (* -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)))))))))) |
(+ 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)))))) |
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 |
(* -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 (* 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) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
(+ 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 (+ 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))))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))))))) |
(+ 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)))))))))) |
(* (/ 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)))) |
(+ (* 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))))) |
(+ (* -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)))))) |
(+ (* -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))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(+ (* -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 (* (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))))))) |
(+ (* -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)))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))))))))))))) |
(* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (sqrt -1/2))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2)))))) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (pow cosTheta 2)) (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI)))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))))) |
(* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (exp (pow cosTheta 2)) (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI))))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(* -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)))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (pow cosTheta 2) (PI))) |
(* c (* (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)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (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)) |
(* 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 (+ 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 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))) cosTheta)) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2))) (/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2)))) (/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2)))) (/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2) (pow c 2))) (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c))) c) |
(/ (- (+ 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) |
(* -1 (/ (- (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)) 1) c)) |
(* -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)) |
(* (/ 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) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) |
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1 |
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(/ (- (+ 1 (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2) (pow c 2))) (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2) (pow c 2))) (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) c) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 3) c) (pow (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) 2)) c)) (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) c)) 1) c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -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 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))))) |
(+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) |
(+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) |
(+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) |
(+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) |
c |
(* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1))) |
(* (/ 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)))) |
(+ (* 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))))) |
(+ (* -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)))))) |
(+ (* -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))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -2) (pow (sqrt -1) 2)))) |
(* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2)))))) |
(* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 3)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2))))))) |
(* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 5)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (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)))))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI)))) |
(+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI))))))) |
(+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(* (sqrt (PI)) (exp (pow cosTheta 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)))))) |
| 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 #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 (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) (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 (+ (* -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 #s(literal 1 binary32) (-.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 (/.f32 #s(literal 1 binary32) c) (/.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))))))) 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 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.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 (/.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 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) (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)) |
(/.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 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)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 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 (/.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)))))) (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))))))))))) |
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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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(+ 1 (* (/ 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)))) |
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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 (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (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) |
(/.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 #s(literal 1 binary32) (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))))) 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 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) |
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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)))))))) |
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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 #s(literal 1 binary32) (+.f32 c (+.f32 (-.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 (sqrt.f32 #s(literal -1 binary32)) (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 -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (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 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #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 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.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 (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 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 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 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(/.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)))) (neg.f32 (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (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 -1 binary32)) (sqrt.f32 #s(literal 2 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (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 -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (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 -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.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)) (* cosTheta (sqrt (PI))))) |
(*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3 binary32) (PI.f32)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3 binary32) (PI.f32))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1/2 binary32)) (+.f32 (*.f32 (PI.f32) #s(literal -8 binary32)) (*.f32 #s(literal 3 binary32) (PI.f32)))))))))))) |
(* (sqrt (* cosTheta (PI))) (* (exp (pow cosTheta 2)) (sqrt -1/2))) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (PI.f32) cosTheta))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2)))))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))))) (+.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (pow cosTheta 2)) (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI)))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (exp (pow cosTheta 2)) (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (sqrt -1/2))))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))))) (+.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))))) (*.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 (exp.f32 (*.f32 cosTheta cosTheta)) (+.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))) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2)))) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))))) |
(*.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (exp (pow cosTheta 2)) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (exp (pow cosTheta 2)) (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI))))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (pow cosTheta 2)) (sqrt -1)) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.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) (sqrt.f32 (*.f32 cosTheta (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (neg.f32 cosTheta)) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
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c |
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c |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
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(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) c))) c) |
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(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ 1 (PI)))) (/ 1 c))) c) |
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(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ 1 (PI)))) (/ 1 c)))) c) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ 1 (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) 2) c) (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) 3) c) (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) 2)) c)) (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) c)) 1) c)) |
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(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 c)))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 c) 2)))))) (* (PI) (+ 1 c)))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (+ (* -1 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 c) 2))))))) (* (PI) (+ 1 c))))) (+ (* -1 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 c) 2)))))) (* (PI) (+ 1 c)))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) (*.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))))) (neg.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))) |
(/ 1 (+ 1 c)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(+ (* -1 (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ 1 c) 2)))) (sqrt (/ 1 (PI))))) (/ 1 (+ 1 c))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (+ 1 c) 3))))) (/ 1 (+ 1 c))) (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ 1 c) 2)))) (sqrt (/ 1 (PI))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))))) |
(- (+ (* -1 (* (/ 1 (* (pow cosTheta 3) (* (pow (exp (pow cosTheta 2)) 3) (pow (+ 1 c) 4)))) (sqrt (/ 1 (pow (PI) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (+ 1 c) 3))))) (/ 1 (+ 1 c)))) (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ 1 c) 2)))) (sqrt (/ 1 (PI))))) |
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 4 binary32)))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(/ 1 (+ 1 c)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(+ (* -1 (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ 1 c) 2)))) (sqrt (/ 1 (PI))))) (/ 1 (+ 1 c))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(+ (* -1 (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ 1 c) 2)))) (sqrt (/ 1 (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (+ 1 c) 3))))) (/ 1 (+ 1 c)))) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (* (pow (exp (pow cosTheta 2)) 3) (pow (+ 1 c) 4)))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (+ 1 c) 3))))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (* (exp (pow cosTheta 2)) (pow (+ 1 c) 2)))))) cosTheta)) (/ 1 (+ 1 c))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 cosTheta (*.f32 (pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 4 binary32)))))) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) cosTheta)) |
(+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
c |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 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 (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 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 (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta 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))) (* cosTheta (+ 1 c))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 cosTheta (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.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))) (* -1 (* (pow cosTheta 2) (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow cosTheta 2) (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow cosTheta 2) (+ (* -1 (sqrt (/ 1 (PI)))) (* (pow cosTheta 2) (+ (* -1/6 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/2 binary32))) (*.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)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.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 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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(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (-.f32 c (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.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 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))))) |
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(+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 1 (+ c (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
c |
(* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) c)))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) c)))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ 1 (* c (exp (pow cosTheta 2)))) (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) c)))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1))) |
(*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1))) |
(*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) cosTheta)) (/ 1 (exp (pow cosTheta 2))))) c)) 1))) |
(*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (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 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #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 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (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 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -2 binary32) (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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.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 (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 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 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 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) |
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.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 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2))))))) |
(-.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.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 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (pow (sqrt -1) 2)) (exp (pow cosTheta 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (* (exp (pow cosTheta 2)) (sqrt -2)))))))) |
(-.f32 (+.f32 (+.f32 (*.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 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.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 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))) |
(* 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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.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 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -2) (pow (sqrt -1) 2)))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) #s(literal 1 binary32)) |
(* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2)))))) |
(*.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 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 3)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2))))))) |
(*.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 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (sqrt -1) 2) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (pow (sqrt -1) 2) (pow (sqrt -2) 5)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (pow (sqrt -1) 2)))))))) |
(*.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 #s(literal -1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.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 #s(literal -1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))))) (neg.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 #s(literal -2 binary32) (/.f32 cosTheta (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))) |
(+.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 (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 cosTheta)) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI)))) |
(*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI))))))) |
(+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))))) |
(+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32))))))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (exp (pow cosTheta 2))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) |
(/ 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))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (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))) |
(*.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 (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 cosTheta)) |
Compiled 36555 to 4481 computations (87.7% saved)
41 alts after pruning (39 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1231 | 19 | 1250 |
| Fresh | 4 | 20 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1239 | 41 | 1280 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (pow.f32 (pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 92.4% | (/.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 (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 #s(literal 1 binary32) c))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) | |
| 95.3% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))))) cosTheta) (+.f32 #s(literal 1 binary32) c))) | |
| 95.2% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 (/.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 binary32))) | |
| 58.9% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (PI.f32)))) cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 cosTheta (PI.f32)))) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) | |
| 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) | |
| 91.7% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) c)) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) | |
| 92.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 92.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) | |
| ▶ | 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
| 98.3% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) | |
| 96.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) | |
| 92.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) | |
| ▶ | 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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)))))) |
| ▶ | 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
| 58.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))) | |
| 95.3% | (/.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))))) | |
| ▶ | 10.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | 5.0% | (/.f32 #s(literal 1 binary32) c) |
| 58.5% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.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)))) (+.f32 #s(literal 1 binary32) c))) | |
| 55.9% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) | |
| 35.6% | (*.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 (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)))) #s(literal 3 binary32)))) (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) | |
| 59.5% | (*.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))))))) | |
| 95.6% | (*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| 96.1% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) | |
| ▶ | 96.0% | (*.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))))) |
| 92.9% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) | |
| 93.2% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) c)))) | |
| 93.2% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 96.1% | (*.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 cosTheta (*.f32 cosTheta (PI.f32))))) | |
| ✓ | 11.0% | (neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
| 90.4% | (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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
Compiled 1871 to 1187 computations (36.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 32 | (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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)))) |
| ✓ | cost-diff | 32 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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))))) |
| ✓ | cost-diff | 32 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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)))))) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (sqrt.f32 (PI.f32)) |
| ✓ | cost-diff | 0 | (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
| ✓ | 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)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
| 2426× | sum3-define |
| 1978× | +-lowering-+.f64 |
| 1978× | +-lowering-+.f32 |
| 1676× | *-lowering-*.f32 |
| 1676× | *-lowering-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 506 |
| 1 | 141 | 457 |
| 2 | 402 | 443 |
| 3 | 1254 | 441 |
| 4 | 3582 | 433 |
| 5 | 7048 | 433 |
| 0 | 8093 | 433 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))))) |
1 |
(+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))))) |
(+ 1 c) |
c |
(/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))) |
(* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))) |
(sqrt (/ (PI) (+ 1 (* cosTheta -2)))) |
(/ (PI) (+ 1 (* cosTheta -2))) |
(PI) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))) |
(+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))) |
(* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))) |
(* cosTheta cosTheta) |
(+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))) |
(* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))) |
(* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))) |
(+ 1/2 (* (* cosTheta cosTheta) 1/6)) |
1/2 |
(* (* cosTheta cosTheta) 1/6) |
1/6 |
(/ 1 (+ 1 c)) |
1 |
(+ 1 c) |
c |
(/ 1 (+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c))) |
1 |
(+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c)) |
(* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) |
(pow (PI) -1/2) |
(PI) |
-1/2 |
(/ (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
cosTheta |
(+ 1 c) |
c |
(* cosTheta (- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
cosTheta |
(- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI)))) |
(sqrt (PI)) |
(PI) |
(* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI))) |
(- 1 (sqrt (/ 1 (PI)))) |
1 |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(* cosTheta (PI)) |
(/ 1 (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))))) |
1 |
(+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)))) |
(+ 1 c) |
c |
(* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))) |
(/ 1 cosTheta) |
cosTheta |
(/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)) |
(exp (neg (* cosTheta cosTheta))) |
(neg (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
-2 |
(PI) |
-1/2 |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) |
(* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))) |
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) |
(sqrt (/ (PI) (+ 1 (* cosTheta -2)))) |
(sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(/ (PI) (+ 1 (* cosTheta -2))) |
(/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(PI) |
(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) |
(* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))) |
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) |
(+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))) |
(* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))) |
(* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))) |
(* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))) |
(*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))) |
(+ 1/2 (* (* cosTheta cosTheta) 1/6)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(* (* cosTheta cosTheta) 1/6) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(/ 1 (+ 1 c)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ 1 (+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c)) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) |
(pow (PI) -1/2) |
(pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
(PI) |
(PI.f32) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (- 1 cosTheta) cosTheta) |
(+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* cosTheta (- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))))) |
cosTheta |
(- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI)))) |
(+.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI))) |
(*.f32 (PI.f32) (*.f32 cosTheta (-.f32 #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 |
#s(literal 1 binary32) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 (PI.f32) cosTheta) |
(/ 1 (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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)))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.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))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))) |
(/.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)))) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)) |
(/.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))) |
(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)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(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)) |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
-1/2 |
#s(literal -1/2 binary32) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (PI.f32) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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)))))) |
| ✓ | accuracy | 98.0% | (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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)))) |
| ✓ | accuracy | 97.5% | (/.f32 (exp.f32 (neg.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))) |
| ✓ | accuracy | 99.0% | (*.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))))) |
| ✓ | accuracy | 99.0% | (*.f32 cosTheta (PI.f32)) |
| ✓ | accuracy | 96.9% | (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
| ✓ | accuracy | 96.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | accuracy | 99.6% | (PI.f32) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
| ✓ | accuracy | 97.9% | (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
| ✓ | accuracy | 96.9% | (pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 1 binary32) c) |
| ✓ | accuracy | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | accuracy | 99.4% | (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
| ✓ | accuracy | 99.0% | (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) |
| 161.0ms | 255× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 532 to 51 computations (90.4% saved)
ival-div: 28.0ms (29.2% of total)ival-mult: 21.0ms (21.9% of total)ival-pow: 15.0ms (15.6% of total)ival-add: 10.0ms (10.4% of total)ival-sqrt: 7.0ms (7.3% of total)...c/correct-round.rkt:119:19: 5.0ms (5.2% of total)ival-sub: 4.0ms (4.2% of total)ival-exp: 3.0ms (3.1% of total)backward-pass: 1.0ms (1% of total)const: 1.0ms (1% of total)ival-pi: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)| Inputs |
|---|
#<alt (/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))))))> |
#<alt (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))))> |
#<alt (+ 1 c)> |
#<alt (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))))> |
#<alt (/ 1 (+ 1 c))> |
#<alt (/ 1 (+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c)))> |
#<alt (+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c))> |
#<alt (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta))> |
#<alt (pow (PI) -1/2)> |
#<alt (* cosTheta (- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI)))))> |
#<alt (- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI))))> |
#<alt (sqrt (PI))> |
#<alt (PI)> |
#<alt (/ 1 (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)))))> |
#<alt (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))))> |
#<alt (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)))> |
#<alt (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))> |
#<alt (* (* cosTheta cosTheta) 1/6)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (- 1 (sqrt (/ 1 (PI))))> |
#<alt (* cosTheta (PI))> |
#<alt (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c)> |
#<alt (/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (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))> |
#<alt (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c)))> |
#<alt (- (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2)))))) (pow cosTheta 8))) (/ 1 (+ 1 c))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2))))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ 1 (* (pow (sqrt -2) 3) (pow (+ 1 c) 2))))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))))) (pow cosTheta 10))) (/ 1 (+ 1 c))) (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2))))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))))))> |
#<alt (/ 1 (+ 1 c))> |
#<alt (+ (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c)))> |
#<alt (- (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ (sqrt -1) (* (sqrt 2) (pow (+ 1 c) 2))))) (/ 1 (+ 1 c)))) (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))))> |
#<alt (- (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 19) (PI)))) (/ (sqrt -1) (* (sqrt 2) (pow (+ 1 c) 2))))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (sqrt -1) (* (pow (sqrt 2) 3) (pow (+ 1 c) 2))))) (+ (* 18 (* (sqrt (/ 1 (* (pow cosTheta 21) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))))) (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (* (pow cosTheta 8) (pow (+ 1 c) 2))))))> |
#<alt (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt c> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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)> |
#<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)> |
#<alt (+ 1 (+ c (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)))))> |
#<alt (+ 1 (+ c (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (sqrt -2))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (sqrt -2)))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)))))))> |
#<alt (+ 1 (+ c (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 19) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 21) (PI)))) (sqrt -2))))))))))> |
#<alt (+ 1 c)> |
#<alt (+ 1 (+ c (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2))))))> |
#<alt (+ 1 (+ c (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 8))))))> |
#<alt (+ 1 (+ c (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 8))) (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 10)))))))> |
#<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 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 (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)))> |
#<alt (/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) (pow cosTheta 6))> |
#<alt (/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2)))))))) (pow cosTheta 6))> |
#<alt (/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3/8 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 9/4 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* 9 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ 1 (sqrt -2)))) (+ (* 18 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)))))))))))) (pow cosTheta 6))> |
#<alt (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2))))> |
#<alt (/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2)))) (pow cosTheta 6))> |
#<alt (/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))))) (pow cosTheta 6))> |
#<alt (/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))) (* -1 (/ (+ (* 3/8 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 9/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) (pow cosTheta 6)))))) (pow cosTheta 6))> |
#<alt 1> |
#<alt (+ 1 (* -1 c))> |
#<alt (+ 1 (* c (- c 1)))> |
#<alt (+ 1 (* c (- (* c (+ 1 (* -1 c))) 1)))> |
#<alt (/ 1 c)> |
#<alt (/ (- 1 (/ 1 c)) c)> |
#<alt (/ (- (+ 1 (/ 1 (pow c 2))) (/ 1 c)) c)> |
#<alt (/ (- (+ 1 (/ 1 (pow c 2))) (+ (/ 1 c) (/ 1 (pow c 3)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (/ 1 c) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) 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 (- (* (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)) (sqrt (pow (PI) 3))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* 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)))))))))))> |
#<alt (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))> |
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#<alt (+ 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)))))))> |
#<alt (+ 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))))))))> |
#<alt (+ 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)))))))))> |
#<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)))))))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI))))))))))))))))> |
#<alt (* 1/6 (* (sqrt (* (pow cosTheta 13) (PI))) (sqrt -1/2)))> |
#<alt (* (pow cosTheta 7) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2))))))> |
#<alt (* (pow cosTheta 7) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2)))))))> |
#<alt (* (pow cosTheta 7) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 7))) (/ 1 (sqrt -1/2)))) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2))) (* (sqrt (/ (PI) (pow cosTheta 9))) (sqrt -1/2)))))))))> |
#<alt (* 1/6 (* (sqrt (* (pow cosTheta 13) (PI))) (* (sqrt -1) (sqrt 1/2))))> |
#<alt (* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))))))> |
#<alt (* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (+ (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2))))))))> |
#<alt (* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) cosTheta)) (/ (sqrt -1) (sqrt 1/2)))) (+ (* -1/96 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ (PI) (pow cosTheta 3))) (* (sqrt -1) (sqrt 1/2)))))) (pow cosTheta 3))) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))))))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<alt (* 1/6 (pow cosTheta 2))> |
#<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)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))> |
#<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))))))))))))> |
#<alt (* (sqrt (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 (* (sqrt (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
#<alt (* -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)))))))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))))) |
| 13.0ms | cosTheta | @ | -inf | (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))) |
| 4.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))))) |
| 3.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))))) |
| 2.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))))) |
| 1× | batch-egg-rewrite |
| 3752× | *-lowering-*.f32 |
| 3752× | *-lowering-*.f64 |
| 2276× | fma-lowering-fma.f32 |
| 2276× | fma-lowering-fma.f64 |
| 1968× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 295 |
| 1 | 361 | 250 |
| 2 | 3577 | 240 |
| 0 | 8595 | 240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))))) |
(+ (+ 1 c) (/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))))) |
(+ 1 c) |
(/ 1 (* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6)))))))))) |
(/ 1 (+ 1 c)) |
(/ 1 (+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c))) |
(+ (* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) (+ 1 c)) |
(* (pow (PI) -1/2) (/ (- 1 cosTheta) cosTheta)) |
(pow (PI) -1/2) |
(* cosTheta (- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
(- (sqrt (PI)) (* (- 1 (sqrt (/ 1 (PI)))) (* cosTheta (PI)))) |
(sqrt (PI)) |
(PI) |
(/ 1 (+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))))) |
(+ (+ 1 c) (* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)))) |
(* (/ 1 cosTheta) (/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2))) |
(* (sqrt (/ (PI) (+ 1 (* cosTheta -2)))) (* cosTheta (+ 1 (* (* cosTheta cosTheta) (+ 1 (* cosTheta (* cosTheta (+ 1/2 (* (* cosTheta cosTheta) 1/6))))))))) |
(* (* cosTheta cosTheta) 1/6) |
(sqrt (/ 1 (PI))) |
(- 1 (sqrt (/ 1 (PI)))) |
(* cosTheta (PI)) |
(/ (exp (neg (* cosTheta cosTheta))) (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2)) |
| Outputs |
|---|
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal -1 binary32))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) #s(literal 1 binary32)) |
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(pow.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #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 (pow.f32 (/.f32 (PI.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) (neg.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #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))) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))) |
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)))) |
(/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))) (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))) (neg.f32 (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 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 1/4 binary32))) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/4 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(*.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))) |
(*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) |
(*.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/4 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32))) |
| 1× | egg-herbie |
| 4968× | *-lowering-*.f32 |
| 4968× | *-lowering-*.f64 |
| 4596× | +-lowering-+.f64 |
| 4596× | +-lowering-+.f32 |
| 1968× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 985 | 8576 |
| 1 | 3266 | 7948 |
| 0 | 8586 | 7948 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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))))))))))) |
(* 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)) |
(+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))) |
(- (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2)))))) (pow cosTheta 8))) (/ 1 (+ 1 c))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2))))) |
(- (+ (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2))))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ 1 (* (pow (sqrt -2) 3) (pow (+ 1 c) 2))))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))))) (pow cosTheta 10))) (/ 1 (+ 1 c))) (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2))))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2))))))) |
(/ 1 (+ 1 c)) |
(+ (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))) |
(- (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ (sqrt -1) (* (sqrt 2) (pow (+ 1 c) 2))))) (/ 1 (+ 1 c)))) (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2))))) |
(- (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 19) (PI)))) (/ (sqrt -1) (* (sqrt 2) (pow (+ 1 c) 2))))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (sqrt -1) (* (pow (sqrt 2) 3) (pow (+ 1 c) 2))))) (+ (* 18 (* (sqrt (/ 1 (* (pow cosTheta 21) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))))) (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (* (pow cosTheta 8) (pow (+ 1 c) 2)))))) |
(+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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) |
(+ 1 c) |
(+ 1 (+ c (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))))) |
(+ 1 (+ c (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (sqrt -2))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (sqrt -2)))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 19) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 21) (PI)))) (sqrt -2)))))))))) |
(+ 1 c) |
(+ 1 (+ c (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(+ 1 (+ c (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 8)))))) |
(+ 1 (+ c (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 8))) (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 10))))))) |
1 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 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) |
(* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))) |
(/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) (pow cosTheta 6)) |
(/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2)))))))) (pow cosTheta 6)) |
(/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3/8 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 9/4 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* 9 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ 1 (sqrt -2)))) (+ (* 18 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)))))))))))) (pow cosTheta 6)) |
(* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) |
(/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2)))) (pow cosTheta 6)) |
(/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))))) (pow cosTheta 6)) |
(/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))) (* -1 (/ (+ (* 3/8 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 9/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) (pow cosTheta 6)))))) (pow cosTheta 6)) |
1 |
(+ 1 (* -1 c)) |
(+ 1 (* c (- c 1))) |
(+ 1 (* c (- (* c (+ 1 (* -1 c))) 1))) |
(/ 1 c) |
(/ (- 1 (/ 1 c)) c) |
(/ (- (+ 1 (/ 1 (pow c 2))) (/ 1 c)) c) |
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (/ 1 c) (/ 1 (pow c 3)))) c) |
(/ 1 c) |
(* -1 (/ (- (/ 1 c) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) 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 (+ 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 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))) cosTheta)) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2))) (/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2)))) (/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2)))) (/ 1 (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2) (pow c 2))) (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c))) c) |
(/ (- (+ 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) |
(* -1 (/ (- (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)) 1) c)) |
(* -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)) |
(* (/ 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) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) |
(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
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(+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
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))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(* -1 (sqrt (/ 1 (PI)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
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(* -1 (sqrt (/ 1 (PI)))) |
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(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) |
(* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(/ 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)) |
(* 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 (* (/ (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))) |
(* (/ 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)))))) |
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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)))))))) |
(+ 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 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))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))))))))))))) |
(* 1/6 (* (sqrt (* (pow cosTheta 13) (PI))) (sqrt -1/2))) |
(* (pow cosTheta 7) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2)))))) |
(* (pow cosTheta 7) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2))))))) |
(* (pow cosTheta 7) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 7))) (/ 1 (sqrt -1/2)))) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2))) (* (sqrt (/ (PI) (pow cosTheta 9))) (sqrt -1/2))))))))) |
(* 1/6 (* (sqrt (* (pow cosTheta 13) (PI))) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (+ (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) cosTheta)) (/ (sqrt -1) (sqrt 1/2)))) (+ (* -1/96 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ (PI) (pow cosTheta 3))) (* (sqrt -1) (sqrt 1/2)))))) (pow cosTheta 3))) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))))))) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 1/6 (pow cosTheta 2)) |
(* 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)))) (* 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))))))))) |
| Outputs |
|---|
(/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal 2 binary32)))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) (*.f32 c (+.f32 (/.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal 3 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal 2 binary32)))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) (*.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal 2 binary32)))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (+.f32 #s(literal 1 binary32) (-.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal 2 binary32)) (*.f32 c 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 (*.f32 cosTheta c) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #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 (*.f32 cosTheta c) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2)))))))))) (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 (*.f32 cosTheta c) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(/.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(/.f32 (+.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 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 (- (* -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 (-.f32 (neg.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)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (*.f32 #s(literal -6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(- (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2)))))) (pow cosTheta 8))) (/ 1 (+ 1 c))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2))))) |
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -18 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (*.f32 #s(literal 3 binary32) (/.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) (pow.f32 cosTheta #s(literal 8 binary32)))) (*.f32 #s(literal -6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(- (+ (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2))))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ 1 (* (pow (sqrt -2) 3) (pow (+ 1 c) 2))))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))))) (pow cosTheta 10))) (/ 1 (+ 1 c))) (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (* (sqrt -2) (pow (+ 1 c) 2))))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (sqrt -2) (pow (+ 1 c) 2))))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) #s(literal -9 binary32)) (+.f32 (*.f32 #s(literal -3/4 binary32) (/.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) #s(literal 18 binary32)))) (pow.f32 cosTheta #s(literal 10 binary32)))) (+.f32 (+.f32 (*.f32 #s(literal -18 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 17 binary32))) (PI.f32))))) (*.f32 #s(literal 3 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 15 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) #s(literal 6 binary32)))) |
(/ 1 (+ 1 c)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(+ (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (*.f32 #s(literal 6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(- (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ (sqrt -1) (* (sqrt 2) (pow (+ 1 c) 2))))) (/ 1 (+ 1 c)))) (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2))))) |
(+.f32 (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -18 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 17 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (*.f32 #s(literal 3 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 15 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) (*.f32 #s(literal 6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
(- (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 19) (PI)))) (/ (sqrt -1) (* (sqrt 2) (pow (+ 1 c) 2))))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (/ (sqrt -1) (* (pow (sqrt 2) 3) (pow (+ 1 c) 2))))) (+ (* 18 (* (sqrt (/ 1 (* (pow cosTheta 21) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (/ 1 (+ 1 c))))) (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (/ (* (sqrt -1) (sqrt 2)) (pow (+ 1 c) 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (* (pow cosTheta 8) (pow (+ 1 c) 2)))))) |
(-.f32 (+.f32 (+.f32 (*.f32 #s(literal -9 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 19 binary32))))))) (*.f32 #s(literal -3/4 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 17 binary32))) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (*.f32 #s(literal 18 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 21 binary32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) (-.f32 (*.f32 #s(literal -6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (/.f32 (+.f32 (*.f32 #s(literal -18 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 3 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 cosTheta #s(literal 8 binary32)))))) |
(+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) |
(+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c)) |
(+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c)) |
(+ 1 (+ c (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c)) |
c |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (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) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (+ 1 (* (pow cosTheta 2) (+ 1 (* (pow cosTheta 2) (+ 1/2 (* 1/6 (pow cosTheta 2))))))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.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 #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) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 (+ c (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(literal 6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (sqrt.f32 #s(literal -2 binary32))))) |
(+ 1 (+ c (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 17) (PI)))) (sqrt -2))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 15) (PI)))) (/ 1 (sqrt -2)))) (* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))))))) |
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(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 (+ c (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))))) |
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(+ 1 (+ c (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 8)))))) |
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(+ 1 (+ c (+ (* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 8))) (* -1 (/ (+ (* -9 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -3/4 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (pow cosTheta 10))))))) |
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1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.f32 #s(literal 1 binary32) c) |
(* c (+ 1 (/ 1 c))) |
(+.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))) (* -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 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 (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 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(* 6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2))) |
(*.f32 #s(literal 6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (sqrt.f32 #s(literal -2 binary32)))) |
(/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) (pow cosTheta 6)) |
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(/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2)))))))) (pow cosTheta 6)) |
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(/ (+ (* -18 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* -9 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* -3/4 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3/8 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 9/4 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 3 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* 9 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ 1 (sqrt -2)))) (+ (* 18 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (* 18 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)))))))))))) (pow cosTheta 6)) |
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(* -6 (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 #s(literal -6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(/ (+ (* -6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1 (/ (+ (* -18 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* 3 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 2)))) (pow cosTheta 6)) |
(/.f32 (-.f32 (*.f32 #s(literal -6 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 -18 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 3 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 cosTheta cosTheta))) (pow.f32 cosTheta #s(literal 6 binary32))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c))) c) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
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(* -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)) |
(* (/ 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))))))) |
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(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
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(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
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(+ 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))))))) |
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(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
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(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
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(+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) |
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(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
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(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
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(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.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))) |
(*.f32 (neg.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))) |
(*.f32 (neg.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))) |
(*.f32 (neg.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))) (* -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))) (* -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))) (* -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) |
(* -1 (sqrt (/ 1 (PI)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.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 cosTheta) (sqrt (/ 1 (PI))))) |
(*.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)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
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(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) |
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(*.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 cosTheta) (sqrt (/ 1 (PI))))) |
(*.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)) (* -1 (* 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))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* 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))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* 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 (* (pow cosTheta 2) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* -1 (* 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 (* 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 (* 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)))))) |
(* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))) |
(/ 1 (+ 1 (* (/ (exp (neg (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 (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (neg (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 (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))))))) |
(+.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 (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))))))) |
(+.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 (neg (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 (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) |
(/.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 (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) |
(/.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 (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(neg.f32 (/.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))) 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)) |
(/.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 (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)) |
(/.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 (-.f32 (neg.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 (neg (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 (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) (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))))))) |
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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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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (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 (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
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(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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c |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.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)) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.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)) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.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)) 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 #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 (neg (pow cosTheta 2))) (sqrt -2))))) |
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(+ 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 #s(literal 1 binary32) (+.f32 (-.f32 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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (-.f32 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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.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 (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 #s(literal 1 binary32) (+.f32 (+.f32 (-.f32 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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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 -1/16 binary32) (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 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.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 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 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 (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 cosTheta (*.f32 #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))))) |
(+.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 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #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 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.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 -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 1/16 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 (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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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 (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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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 (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 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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 (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 -1/16 binary32) (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 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.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)))))) |
(* 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)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.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 #s(literal -3 binary32) (PI.f32))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (sqrt (/ 1 (PI))) (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))))))))))))) |
(*.f32 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3 binary32) (PI.f32))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1/2 binary32)) (+.f32 (*.f32 (PI.f32) #s(literal -8 binary32)) (*.f32 #s(literal 3 binary32) (PI.f32))))))))))) |
(* 1/6 (* (sqrt (* (pow cosTheta 13) (PI))) (sqrt -1/2))) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)))) |
(* (pow cosTheta 7) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2)))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (+.f32 (*.f32 #s(literal -1/48 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)) (+.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) |
(* (pow cosTheta 7) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/48 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/96 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) |
(* (pow cosTheta 7) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 7))) (/ 1 (sqrt -1/2)))) (+ (* -1/48 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (+ (* 1/6 (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 5))) (sqrt -1/2))) (* (sqrt (/ (PI) (pow cosTheta 9))) (sqrt -1/2))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (+.f32 (*.f32 #s(literal -1/12 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)))) (+.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/48 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/96 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32))))))))))) |
(* 1/6 (* (sqrt (* (pow cosTheta 13) (PI))) (* (sqrt -1) (sqrt 1/2)))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))))) |
(neg.f32 (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 cosTheta cosTheta))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (+ (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/96 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (+.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 cosTheta cosTheta))) (*.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) cosTheta)) (/ (sqrt -1) (sqrt 1/2)))) (+ (* -1/96 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ (PI) (pow cosTheta 3))) (* (sqrt -1) (sqrt 1/2)))))) (pow cosTheta 3))) (+ (* -1 (/ (+ (* -1/48 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2))))) (pow cosTheta 2))) (* -1/6 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/6 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 cosTheta cosTheta))) (/.f32 (+.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (PI.f32) #s(literal 1/16 binary32)) (*.f32 #s(literal -1/64 binary32) (/.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1/2 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) cosTheta))) (*.f32 #s(literal -1/96 binary32) (sqrt.f32 (*.f32 cosTheta (PI.f32)))))) (*.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 cosTheta (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) |
(* 1/6 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 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 (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 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) |
(+ (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 cosTheta (*.f32 #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 #s(literal 0 binary32) (*.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 (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))))))) |
(* 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 (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 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #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 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.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 -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 1/16 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 (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(*.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))) (neg.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))))) |
(* -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 (+.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)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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)))))) (neg.f32 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)))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 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 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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 (* 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))))))))) |
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.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 (*.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 (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 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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))))))) (neg.f32 cosTheta)) |
Compiled 40141 to 4724 computations (88.2% saved)
41 alts after pruning (39 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1214 | 18 | 1232 |
| Fresh | 13 | 21 | 34 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1232 | 41 | 1273 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (pow.f32 (pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 55.6% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c)))) | |
| 10.8% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) | |
| 92.4% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 97.9% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) (+.f32 #s(literal 1 binary32) c))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) | |
| 95.2% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 (/.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 binary32))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) | |
| 92.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) | |
| 98.3% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) | |
| 96.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) | |
| 92.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) | |
| 95.3% | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) | |
| 95.2% | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))) | |
| 97.7% | (/.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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) | |
| 98.3% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) | |
| 97.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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)))))) | |
| 95.3% | (/.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))))) | |
| ✓ | 10.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
| 10.8% | (-.f32 #s(literal 1 binary32) c) | |
| 55.6% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c))) | |
| 58.4% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) | |
| 35.6% | (*.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 (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)))) #s(literal 3 binary32)))) (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) | |
| 59.3% | (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) | |
| 95.5% | (*.f32 cosTheta (-.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| 96.1% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) | |
| 96.0% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) | |
| 92.9% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) | |
| 93.2% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) c)))) | |
| 93.2% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 96.1% | (*.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 cosTheta (*.f32 cosTheta (PI.f32))))) | |
| ✓ | 11.0% | (neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
| 90.2% | (exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal -1 binary32))) | |
| 10.8% | #s(literal 1 binary32) |
Compiled 3010 to 1034 computations (65.6% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) |
(*.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) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.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 cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(*.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 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.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 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.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))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.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) c))) |
(/.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 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.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) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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 #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 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) 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 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 cosTheta (PI.f32)))) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (PI.f32)))) cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(*.f32 cosTheta (-.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta))) #s(literal -1 binary32))) |
(pow.f32 (pow.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #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))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.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)))) (+.f32 #s(literal 1 binary32) c))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)) #s(literal 2 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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta) #s(literal 2 binary32)))) (-.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 #s(literal 2 binary32) cosTheta)) (PI.f32)))) cosTheta))) |
(*.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 (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)))) #s(literal 3 binary32)))) (+.f32 (pow.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)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (-.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 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
6 calls:
| 65.0ms | c |
| 26.0ms | (*.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))) |
| 25.0ms | (/.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))))) |
| 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)))) |
| 24.0ms | 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 |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) |
(*.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) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.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 cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(*.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 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.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 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.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))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.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) c))) |
(/.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 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.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) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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 #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 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) 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 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 cosTheta (PI.f32)))) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (PI.f32)))) cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)) (PI.f32)))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(*.f32 cosTheta (-.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32))))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
3 calls:
| 21.0ms | c |
| 21.0ms | cosTheta |
| 15.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | cosTheta |
| 98.6% | 1 | c |
| 98.6% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (PI.f32))))) |
(*.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) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.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 cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(*.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 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.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 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.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))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.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) c))) |
(/.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 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.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) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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 #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 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 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 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (neg.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 cosTheta (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 cosTheta (*.f32 cosTheta (PI.f32))))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
3 calls:
| 19.0ms | c |
| 18.0ms | cosTheta |
| 14.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | cosTheta |
| 98.5% | 1 | c |
| 98.5% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (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 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)))))))) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
3 calls:
| 14.0ms | cosTheta |
| 9.0ms | c |
| 8.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | cosTheta |
| 98.3% | 1 | c |
| 98.3% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 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 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))))))) |
3 calls:
| 10.0ms | cosTheta |
| 9.0ms | c |
| 7.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | c |
| 98.3% | 1 | cosTheta |
| 98.3% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
3 calls:
| 9.0ms | cosTheta |
| 8.0ms | c |
| 8.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | cosTheta |
| 97.7% | 1 | c |
| 97.7% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
3 calls:
| 12.0ms | cosTheta |
| 8.0ms | c |
| 6.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 96.2% | 1 | cosTheta |
| 96.2% | 1 | c |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.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 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
3 calls:
| 7.0ms | c |
| 7.0ms | cosTheta |
| 7.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 95.9% | 1 | c |
| 95.9% | 1 | cosTheta |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
3 calls:
| 7.0ms | c |
| 6.0ms | cosTheta |
| 5.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | cosTheta |
| 95.4% | 1 | c |
| 95.4% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
3 calls:
| 10.0ms | c |
| 6.0ms | cosTheta |
| 5.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 95.4% | 1 | cosTheta |
| 95.4% | 1 | c |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
3 calls:
| 8.0ms | c |
| 5.0ms | cosTheta |
| 5.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | cosTheta |
| 95.4% | 1 | c |
| 95.4% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) 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:
| 8.0ms | c |
| 5.0ms | cosTheta |
| 4.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | cosTheta |
| 95.3% | 1 | c |
| 95.3% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))) |
3 calls:
| 7.0ms | c |
| 5.0ms | cosTheta |
| 4.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | cosTheta |
| 95.2% | 1 | c |
| 95.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) c)))) |
3 calls:
| 25.0ms | cosTheta |
| 5.0ms | c |
| 4.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | cosTheta |
| 93.2% | 1 | c |
| 93.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
(*.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))) |
3 calls:
| 3.0ms | c |
| 3.0ms | cosTheta |
| 2.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 93.2% | 1 | cosTheta |
| 93.2% | 1 | c |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 c c) #s(literal 1 binary32)) (-.f32 c #s(literal 1 binary32)))) |
| Outputs |
|---|
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
3 calls:
| 3.0ms | c |
| 3.0ms | cosTheta |
| 2.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.0% | 1 | cosTheta |
| 11.0% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 11.0% | 1 | c |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) c) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
| Outputs |
|---|
(-.f32 #s(literal 1 binary32) c) |
3 calls:
| 13.0ms | (+.f32 #s(literal 1 binary32) c) |
| 2.0ms | cosTheta |
| 2.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.8% | 1 | cosTheta |
| 10.8% | 1 | c |
| 10.8% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary32) |
| Outputs |
|---|
#s(literal 1 binary32) |
2 calls:
| 1.0ms | c |
| 1.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.8% | 1 | cosTheta |
| 10.8% | 1 | c |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 74× | *-commutative_binary32 |
| 70× | +-commutative_binary32 |
| 22× | sub-neg_binary32 |
| 20× | distribute-lft-neg-in_binary32 |
| 20× | distribute-rgt-neg-in_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 312 |
| 1 | 174 | 312 |
| 2 | 200 | 312 |
| 3 | 222 | 312 |
| 4 | 232 | 312 |
| 5 | 236 | 312 |
| 6 | 237 | 312 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.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 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(-.f32 #s(literal 1 binary32) c) |
#s(literal 1 binary32) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.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 (/.f32 #s(literal 1 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32))))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta #s(literal 1/2 binary32))))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.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 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.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 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) c)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 c (PI.f32))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(neg.f32 (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(-.f32 #s(literal 0 binary32) (*.f32 c (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(-.f32 #s(literal 1 binary32) c) |
#s(literal 1 binary32) |
| 6902× | *-lowering-*.f32 |
| 6902× | *-lowering-*.f64 |
| 6318× | *-lowering-*.f32 |
| 6318× | *-lowering-*.f64 |
| 5462× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 641 | 11186 |
| 1 | 2193 | 10369 |
| 0 | 8244 | 10369 |
| 0 | 709 | 6977 |
| 1 | 2312 | 6498 |
| 0 | 8300 | 6498 |
| 0 | 985 | 8576 |
| 1 | 3266 | 7948 |
| 0 | 8586 | 7948 |
| 0 | 29 | 148 |
| 1 | 199 | 143 |
| 2 | 1902 | 139 |
| 0 | 8558 | 139 |
| 0 | 996 | 10282 |
| 1 | 3356 | 9405 |
| 0 | 8605 | 9405 |
| 0 | 18 | 21 |
| 1 | 48 | 21 |
| 2 | 116 | 20 |
| 3 | 278 | 19 |
| 4 | 469 | 19 |
| 5 | 1035 | 19 |
| 6 | 2693 | 19 |
| 7 | 4286 | 19 |
| 8 | 5799 | 19 |
| 9 | 7288 | 19 |
| 0 | 8304 | 19 |
| 0 | 44 | 286 |
| 1 | 330 | 262 |
| 2 | 3583 | 262 |
| 0 | 8195 | 262 |
| 0 | 41 | 259 |
| 1 | 285 | 231 |
| 2 | 3071 | 230 |
| 0 | 8717 | 230 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1019 to 600 computations (41.1% saved)
Compiled 684 to 248 computations (63.7% saved)
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