
Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 3% | 97% | 0% | 0% | 0% | 0 |
| 0% | 0% | 3% | 97% | 0% | 0% | 0% | 1 |
| 0% | 0% | 3% | 97% | 0% | 0% | 0% | 2 |
| 0% | 0% | 3% | 97% | 0% | 0% | 0% | 3 |
| 0% | 0% | 3% | 97% | 0% | 0% | 0% | 4 |
| 0% | 0% | 3% | 97% | 0% | 0% | 0% | 5 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 6 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 7 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 8 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 9 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 10 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 11 |
| 0% | 0% | 1.5% | 97% | 0% | 1.5% | 0% | 12 |
Compiled 65 to 44 computations (32.3% saved)
| 2.3s | 8 256× | 0 | valid |
| 39.0ms | 137× | 0 | invalid |
const: 518.0ms (27.5% of total)ival-<=: 314.0ms (16.7% of total)ival-div: 305.0ms (16.2% of total)ival-mult: 261.0ms (13.9% of total)ival-log: 122.0ms (6.5% of total)ival-sub: 118.0ms (6.3% of total)ival-add: 89.0ms (4.7% of total)ival-exp: 75.0ms (4% of total)ival-and: 58.0ms (3.1% of total)exact: 18.0ms (1% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 93 | 2 | (-7.416512069331999e-34 -1.4002998401345605e-30 2.7317067415313954e-36 -1.877591118755928e-32 1.8299937703830548e-19) | 28 | (4.145956039418308e-13 -2.375693831316937e-31 2.7346109798519256e-27 -6.338471877466373e-22 1.1751557564298829e-23) | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 78 | 3 | (-2.3026713287851696e-32 1.169484953322808e-8 -1.8073962678850636e-31 -9.549221654863404e-26 1.2669034658158163e-12) | 28 | (-4.1537265841511475e-14 6.832017248017291e-34 -2.2358594683713673e-29 -9.315681059397004e-15 5.0198324012423665e-19) | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 2 | 4 | (-1.1430148040352753e-14 1.4055543715585372e-6 4.6758555072301533e-7 0.05096295103430748 0.007240221370011568) | 2 | (-9.621749459503173e-31 0.31410032510757446 -6.878057774883928e-6 -7.491188114272518e-9 0.013815030455589294) | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 1 | 0 | - | 0 | - | (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) v) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 0 | 0 | - | 0 | - | sinTheta_i |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | cosTheta_i |
| 0 | 0 | - | 0 | - | (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) |
| 0 | 0 | - | 0 | - | sinTheta_O |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) v) |
| 0 | 0 | - | 0 | - | (*.f32 sinTheta_i sinTheta_O) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (*.f32 cosTheta_i cosTheta_O) |
| 0 | 0 | - | 0 | - | #s(literal 6931/10000 binary32) |
| 0 | 0 | - | 0 | - | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 0 | 0 | - | 0 | - | (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) |
| 0 | 0 | - | 0 | - | cosTheta_O |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f32 | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) | u/n | 11 | 0 |
| ↳ | (*.f32 cosTheta_i cosTheta_O) | underflow | 95 | |
/.f32 | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) | u/n | 9 | 0 |
| ↳ | (*.f32 sinTheta_i sinTheta_O) | underflow | 77 | |
exp.f32 | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | sensitivity | 4 | 2 |
log.f32 | (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) | oflow-rescue | 1 | 0 |
| ↳ | (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 3 |
| - | 24 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 2 | 1 |
| - | 24 | 0 | 228 |
| number | freq |
|---|---|
| 0 | 231 |
| 1 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 92.0ms | 512× | 0 | valid |
Compiled 295 to 67 computations (77.3% saved)
ival-div: 20.0ms (29.8% of total)ival-mult: 17.0ms (25.4% of total)const: 8.0ms (11.9% of total)ival-log: 6.0ms (8.9% of total)ival-add: 5.0ms (7.5% of total)ival-sub: 5.0ms (7.5% of total)ival-exp: 4.0ms (6% of total)ival-true: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 481 |
| 1 | 440 | 419 |
| 2 | 1130 | 402 |
| 3 | 3600 | 400 |
| 0 | 21 | 25 |
| 0 | 34 | 23 |
| 1 | 64 | 20 |
| 2 | 130 | 20 |
| 3 | 346 | 20 |
| 4 | 1416 | 19 |
| 0 | 8303 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| Outputs |
|---|
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) |
(sort cosTheta_i cosTheta_O)
(sort sinTheta_i sinTheta_O)
Compiled 25 to 21 computations (16% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
Compiled 25 to 21 computations (16% saved)
| Inputs |
|---|
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) |
(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) |
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
cosTheta_O |
v |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
(*.f32 sinTheta_i sinTheta_O) |
sinTheta_i |
sinTheta_O |
(/.f32 #s(literal 1 binary32) v) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v)) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_O cosTheta_i) |
cosTheta_i |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v))) |
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
cosTheta_O |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v))) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_O sinTheta_i) |
sinTheta_i |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
sinTheta_O |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
v |
(/ 1 v) |
(+ (log 1/2) (* -1 (log v))) |
(/ 1/2 v) |
(* 2 v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
6931/10000 |
(+ (log 1/2) (log (/ 1 v))) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))) |
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(+ (log -1/2) (log (/ -1 v))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | v | @ | 0 | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2) |
| 16.0ms | v | @ | -inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2) |
| 10.0ms | cosTheta_i | @ | -inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2) |
| 9.0ms | cosTheta_i | @ | 0 | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2) |
| 9.0ms | v | @ | inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 2219 |
| 1 | 1305 | 2121 |
| 2 | 5550 | 1960 |
| 0 | 8217 | 1866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v)) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_O cosTheta_i) |
cosTheta_i |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v))) |
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
cosTheta_O |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v))) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_O sinTheta_i) |
sinTheta_i |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
sinTheta_O |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
v |
(/ 1 v) |
(+ (log 1/2) (* -1 (log v))) |
(/ 1/2 v) |
(* 2 v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
6931/10000 |
(+ (log 1/2) (log (/ 1 v))) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))) |
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(+ (log -1/2) (log (/ -1 v))) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_i v)) cosTheta_O (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) v)) v) cosTheta_i)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (*.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_O v))) cosTheta_i)) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32)) |
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) |
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) v) |
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(/ (* cosTheta_O cosTheta_i) v) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(* cosTheta_O cosTheta_i) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_i |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i) |
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i)) v)) |
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O) v) cosTheta_i) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i)) v)) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O) v) cosTheta_i) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) v)) v) cosTheta_O)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32))))) cosTheta_O (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_i v))) cosTheta_O)) |
cosTheta_O |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O) |
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O)) v)) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i) v) cosTheta_O) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O)) v)) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i) v) cosTheta_O) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(fma.f32 (*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) sinTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)) v) sinTheta_i)) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (*.f32 v v)) (*.f32 (*.f32 (*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) sinTheta_i) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i) (*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (/.f32 sinTheta_O v))) sinTheta_i)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(/ (* sinTheta_O sinTheta_i) v) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(* sinTheta_O sinTheta_i) |
(*.f32 sinTheta_O sinTheta_i) |
sinTheta_i |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(*.f32 (-.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(*.f32 (-.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v))) |
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) sinTheta_O) v)) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)) v) sinTheta_O (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) (*.f32 (*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32))) sinTheta_O) (*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (/.f32 sinTheta_i v))) sinTheta_O)) |
sinTheta_O |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v))) |
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) sinTheta_i) v)) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 v)) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
v |
(/ 1 v) |
(/.f32 #s(literal 1 binary32) v) |
(+ (log 1/2) (* -1 (log v))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) |
(/ 1/2 v) |
(/.f32 #s(literal 1/2 binary32) v) |
(* 2 v) |
(*.f32 #s(literal 2 binary32) v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 v)) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(+.f32 (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32)) |
6931/10000 |
#s(literal 6931/10000 binary32) |
(+ (log 1/2) (log (/ 1 v))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32)) v) #s(literal -1/2 binary32)))) (neg.f32 v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 3 binary32)) v) #s(literal -1/6 binary32)))) (neg.f32 v))) (neg.f32 v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)) |
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)) |
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)) |
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) |
(+ (log -1/2) (log (/ -1 v))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 133 |
| 0 | 34 | 115 |
| 1 | 137 | 106 |
| 2 | 1213 | 106 |
| 0 | 8896 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) |
(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) |
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
cosTheta_O |
v |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
(*.f32 sinTheta_i sinTheta_O) |
sinTheta_i |
sinTheta_O |
(/.f32 #s(literal 1 binary32) v) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
| Outputs |
|---|
(*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32))) |
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(/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(-.f32 (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v)) (*.f32 v v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (*.f32 v v))) |
(-.f32 (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (*.f32 (neg.f32 v) v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (neg.f32 v) v))) |
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (*.f32 v (neg.f32 v))) (/.f32 (*.f32 v (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (*.f32 v (neg.f32 v)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))))) |
(-.f32 (*.f32 (/.f32 v v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (/.f32 (*.f32 v sinTheta_O) v) (/.f32 sinTheta_i v))) |
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(fma.f32 (/.f32 v (fabs.f32 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (fabs.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 v (neg.f32 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 v v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_O (fabs.f32 v)) (/.f32 (*.f32 cosTheta_i v) (fabs.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_i (fabs.f32 v)) (/.f32 (*.f32 cosTheta_O v) (fabs.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (*.f32 cosTheta_O v) (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (fabs.f32 v)) (/.f32 v (fabs.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 cosTheta_O v) v) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (/.f32 v (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_i v) v) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 v v) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(+.f32 (/.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (*.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) |
(+.f32 (*.f32 (/.f32 v v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) |
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(*.f32 (/.f32 cosTheta_O v) cosTheta_i) |
(*.f32 cosTheta_O (/.f32 cosTheta_i v)) |
(*.f32 cosTheta_i (/.f32 cosTheta_O v)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 (neg.f32 v))) |
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v)) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) |
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))) |
(*.f32 cosTheta_O cosTheta_i) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
cosTheta_O |
v |
(*.f32 (/.f32 sinTheta_O v) sinTheta_i) |
(*.f32 sinTheta_O (/.f32 sinTheta_i v)) |
(*.f32 sinTheta_i (/.f32 sinTheta_O v)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 (neg.f32 v))) |
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v)) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(neg.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) |
(*.f32 sinTheta_O sinTheta_i) |
(*.f32 sinTheta_i sinTheta_O) |
sinTheta_i |
sinTheta_O |
(*.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (neg.f32 (pow.f32 v #s(literal -1/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 v #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 v #s(literal -1/2 binary32)))) |
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) |
(sqrt.f32 (pow.f32 v #s(literal -2 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 v)) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 v))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 v)) |
(/.f32 #s(literal 1 binary32) v) |
(pow.f32 (exp.f32 (log.f32 v)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (neg.f32 v)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 v v) #s(literal -1/2 binary32)) |
(pow.f32 v #s(literal -1 binary32)) |
(fabs.f32 (/.f32 #s(literal -1 binary32) v)) |
(fabs.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) |
(fabs.f32 (/.f32 #s(literal 1 binary32) v)) |
(+.f32 (cosh.f32 (neg.f32 (log.f32 v))) (sinh.f32 (neg.f32 (log.f32 v)))) |
(exp.f32 (neg.f32 (log.f32 v))) |
(neg.f32 (/.f32 #s(literal -1 binary32) v)) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(*.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))) (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))) |
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))) |
(-.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal -2 binary32) v))) |
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) |
(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32))) |
(+.f32 (log.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)))) |
(+.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) |
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))) |
(neg.f32 (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v)))) |
(neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(*.f32 (neg.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)))) |
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)) |
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (*.f32 (sinh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) |
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (log.f32 v))) |
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) v)))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 v)) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 v))) |
(/.f32 #s(literal 1/2 binary32) v) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v)))) |
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) v)) |
(/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal -2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(-.f32 (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 #s(literal 2 binary32) v)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(*.f32 (exp.f32 (log.f32 #s(literal 2 binary32))) (exp.f32 (log.f32 v))) |
(*.f32 (exp.f32 (log.f32 v)) (exp.f32 (log.f32 #s(literal 2 binary32)))) |
(*.f32 #s(literal 2 binary32) v) |
(*.f32 v #s(literal 2 binary32)) |
(/.f32 (neg.f32 (-.f32 (*.f32 v v) (*.f32 v v))) (neg.f32 (-.f32 v v))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (neg.f32 (fma.f32 v v (-.f32 (*.f32 v v) (*.f32 v v))))) |
(/.f32 (-.f32 (*.f32 v v) (*.f32 v v)) (-.f32 v v)) |
(/.f32 (+.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (fma.f32 v v (-.f32 (*.f32 v v) (*.f32 v v)))) |
(-.f32 (/.f32 (*.f32 v v) (-.f32 v v)) (/.f32 (*.f32 v v) (-.f32 v v))) |
(+.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (fma.f32 v v (-.f32 (*.f32 v v) (*.f32 v v)))) (/.f32 (pow.f32 v #s(literal 3 binary32)) (fma.f32 v v (-.f32 (*.f32 v v) (*.f32 v v))))) |
(+.f32 (cosh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))) |
(+.f32 v v) |
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) |
#s(literal 2 binary32) |
Compiled 21 129 to 2 757 computations (87% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 10 | 488 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 479 | 10 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| 43.2% | (/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) | |
| ▶ | 85.7% | (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
| 38.9% | (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32))) | |
| 98.9% | (exp.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) | |
| ▶ | 99.3% | (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 4.6% | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| 98.1% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) | |
| ▶ | 99.3% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
| ▶ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
| ▶ | 4.6% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
Compiled 680 to 494 computations (27.4% saved)
| Inputs |
|---|
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) |
(-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) |
(*.f32 v (*.f32 cosTheta_O cosTheta_i)) |
v |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
(*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) |
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) |
sinTheta_O |
sinTheta_i |
#s(literal 1 binary32) |
(*.f32 v v) |
#s(literal 6931/10000 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) |
(*.f32 sinTheta_O sinTheta_i) |
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) |
(/.f32 #s(literal 1 binary32) v) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(* -1 (* v (+ 1 (* sinTheta_O sinTheta_i)))) |
(- (* cosTheta_O (* cosTheta_i v)) (* v (+ 1 (* sinTheta_O sinTheta_i)))) |
(* cosTheta_O (* cosTheta_i v)) |
(* cosTheta_O cosTheta_i) |
cosTheta_i |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
-1 |
(- (* cosTheta_O cosTheta_i) 1) |
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) |
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v)) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) |
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(* -1 (* sinTheta_O sinTheta_i)) |
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v))) |
(* cosTheta_i (+ (* -1 (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)) (* cosTheta_O v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) |
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) |
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
cosTheta_O |
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* cosTheta_O (+ (* -1 (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)) (* cosTheta_i v))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ (- (* cosTheta_O (* cosTheta_i v)) v) (pow v 2)) |
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(- (+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v))) v) |
v |
(+ v (* sinTheta_O (* sinTheta_i v))) |
1 |
(+ 1 (* sinTheta_O sinTheta_i)) |
sinTheta_i |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(exp (- 6931/10000 (/ 1 v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(/ 1 v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) |
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) |
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) |
(* sinTheta_O sinTheta_i) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
(* -1 (* sinTheta_O (* sinTheta_i v))) |
(* sinTheta_i (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i) (+ (* sinTheta_O v) (/ v sinTheta_i)))) |
(* sinTheta_O (* sinTheta_i v)) |
(* sinTheta_i (+ (* sinTheta_O v) (/ v sinTheta_i))) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O (* cosTheta_i v)) v) sinTheta_i)) (* -1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (* sinTheta_O v)) (* -1 (/ v sinTheta_i))))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
sinTheta_O |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v)))) |
(* sinTheta_O (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O) (+ (* sinTheta_i v) (/ v sinTheta_O)))) |
(* sinTheta_O (+ (* sinTheta_i v) (/ v sinTheta_O))) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O (* cosTheta_i v)) v) sinTheta_O)) (* -1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (* sinTheta_i v)) (* -1 (/ v sinTheta_O))))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i)))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(* v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) |
(* v (+ 1 (* sinTheta_O sinTheta_i))) |
(pow v 2) |
(+ (log 1/2) (* -1 (log v))) |
(/ 1/2 v) |
(* 2 v) |
(* 1/2 (/ (exp 6931/10000) v)) |
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (* sinTheta_O sinTheta_i)) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(+ 6931/10000 (+ (log 1/2) (* -1 (log v)))) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v) |
(exp (- (/ 1 v) 6931/10000)) |
(/ (+ 1 (* -6931/10000 v)) v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
6931/10000 |
(+ (log 1/2) (log (/ 1 v))) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) |
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000)))) |
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))) |
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))))))) |
(exp (+ (log 1/2) (log (/ 1 v)))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))) |
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(exp -6931/10000) |
(+ (exp -6931/10000) (/ (exp -6931/10000) v)) |
(+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))) |
(+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))) |
-6931/10000 |
(- (/ 1 v) 6931/10000) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))))) |
(+ 6931/10000 (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(* -1 (* v (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(+ (log -1/2) (log (/ -1 v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)) |
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | v | @ | inf | ((exp (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v (* cosTheta_O cosTheta_i)) v (* cosTheta_O cosTheta_i) cosTheta_O cosTheta_i (* v (+ (* sinTheta_O sinTheta_i) 1)) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 (* v v) 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) 1/2 (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ (+ (* sinTheta_O sinTheta_i) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (- (* cosTheta_O cosTheta_i) 1) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* sinTheta_O sinTheta_i) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 25.0ms | v | @ | -inf | ((exp (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v (* cosTheta_O cosTheta_i)) v (* cosTheta_O cosTheta_i) cosTheta_O cosTheta_i (* v (+ (* sinTheta_O sinTheta_i) 1)) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 (* v v) 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) 1/2 (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ (+ (* sinTheta_O sinTheta_i) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (- (* cosTheta_O cosTheta_i) 1) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* sinTheta_O sinTheta_i) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 14.0ms | v | @ | 0 | ((exp (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v (* cosTheta_O cosTheta_i)) v (* cosTheta_O cosTheta_i) cosTheta_O cosTheta_i (* v (+ (* sinTheta_O sinTheta_i) 1)) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 (* v v) 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) 1/2 (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ (+ (* sinTheta_O sinTheta_i) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (- (* cosTheta_O cosTheta_i) 1) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* sinTheta_O sinTheta_i) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 13.0ms | cosTheta_O | @ | 0 | ((exp (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v (* cosTheta_O cosTheta_i)) v (* cosTheta_O cosTheta_i) cosTheta_O cosTheta_i (* v (+ (* sinTheta_O sinTheta_i) 1)) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 (* v v) 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) 1/2 (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ (+ (* sinTheta_O sinTheta_i) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (- (* cosTheta_O cosTheta_i) 1) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* sinTheta_O sinTheta_i) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 10.0ms | sinTheta_O | @ | inf | ((exp (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v (* cosTheta_O cosTheta_i)) v (* cosTheta_O cosTheta_i) cosTheta_O cosTheta_i (* v (+ (* sinTheta_O sinTheta_i) 1)) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 (* v v) 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) 1/2 (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ (+ (* sinTheta_O sinTheta_i) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (- (* cosTheta_O cosTheta_i) 1) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* sinTheta_O sinTheta_i) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1108 | 7223 |
| 1 | 3983 | 6817 |
| 0 | 9092 | 6478 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(* -1 (* v (+ 1 (* sinTheta_O sinTheta_i)))) |
(- (* cosTheta_O (* cosTheta_i v)) (* v (+ 1 (* sinTheta_O sinTheta_i)))) |
(* cosTheta_O (* cosTheta_i v)) |
(* cosTheta_O cosTheta_i) |
cosTheta_i |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
-1 |
(- (* cosTheta_O cosTheta_i) 1) |
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) |
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v)) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) |
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(* -1 (* sinTheta_O sinTheta_i)) |
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v))) |
(* cosTheta_i (+ (* -1 (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)) (* cosTheta_O v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) |
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) |
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
cosTheta_O |
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* cosTheta_O (+ (* -1 (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)) (* cosTheta_i v))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ (- (* cosTheta_O (* cosTheta_i v)) v) (pow v 2)) |
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(- (+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v))) v) |
v |
(+ v (* sinTheta_O (* sinTheta_i v))) |
1 |
(+ 1 (* sinTheta_O sinTheta_i)) |
sinTheta_i |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(exp (- 6931/10000 (/ 1 v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(/ 1 v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) |
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) |
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) |
(* sinTheta_O sinTheta_i) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
(* -1 (* sinTheta_O (* sinTheta_i v))) |
(* sinTheta_i (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i) (+ (* sinTheta_O v) (/ v sinTheta_i)))) |
(* sinTheta_O (* sinTheta_i v)) |
(* sinTheta_i (+ (* sinTheta_O v) (/ v sinTheta_i))) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O (* cosTheta_i v)) v) sinTheta_i)) (* -1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (* sinTheta_O v)) (* -1 (/ v sinTheta_i))))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
sinTheta_O |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v)))) |
(* sinTheta_O (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O) (+ (* sinTheta_i v) (/ v sinTheta_O)))) |
(* sinTheta_O (+ (* sinTheta_i v) (/ v sinTheta_O))) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O (* cosTheta_i v)) v) sinTheta_O)) (* -1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (* sinTheta_i v)) (* -1 (/ v sinTheta_O))))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i)))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(* v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) |
(* v (+ 1 (* sinTheta_O sinTheta_i))) |
(pow v 2) |
(+ (log 1/2) (* -1 (log v))) |
(/ 1/2 v) |
(* 2 v) |
(* 1/2 (/ (exp 6931/10000) v)) |
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (* sinTheta_O sinTheta_i)) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(+ 6931/10000 (+ (log 1/2) (* -1 (log v)))) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v) |
(exp (- (/ 1 v) 6931/10000)) |
(/ (+ 1 (* -6931/10000 v)) v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
6931/10000 |
(+ (log 1/2) (log (/ 1 v))) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) |
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000)))) |
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))) |
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))))))) |
(exp (+ (log 1/2) (log (/ 1 v)))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))) |
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(exp -6931/10000) |
(+ (exp -6931/10000) (/ (exp -6931/10000) v)) |
(+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))) |
(+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))) |
-6931/10000 |
(- (/ 1 v) 6931/10000) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))))) |
(+ 6931/10000 (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(* -1 (* v (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(+ (log -1/2) (log (/ -1 v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)) |
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v))) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (*.f32 cosTheta_O (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) |
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) |
(* -1 (* v (+ 1 (* sinTheta_O sinTheta_i)))) |
(*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) |
(- (* cosTheta_O (* cosTheta_i v)) (* v (+ 1 (* sinTheta_O sinTheta_i)))) |
(-.f32 (*.f32 (*.f32 cosTheta_i v) cosTheta_O) (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(* cosTheta_O (* cosTheta_i v)) |
(*.f32 (*.f32 cosTheta_i v) cosTheta_O) |
(* cosTheta_O cosTheta_i) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) |
(/ -1 v) |
(/.f32 #s(literal -1 binary32) v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) |
-1 |
#s(literal -1 binary32) |
(- (* cosTheta_O cosTheta_i) 1) |
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) |
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) |
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)) (/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_O v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) |
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_O cosTheta_O)) v) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) |
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) |
(* -1 (* sinTheta_O sinTheta_i)) |
(*.f32 (neg.f32 sinTheta_O) sinTheta_i) |
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) |
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) |
(/ (* cosTheta_O cosTheta_i) v) |
(/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (/.f32 cosTheta_O v)) cosTheta_i) |
(* cosTheta_i (+ (* -1 (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)) (* cosTheta_O v))) |
(*.f32 (fma.f32 (neg.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_i) (*.f32 cosTheta_O v)) cosTheta_i) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(*.f32 (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(*.f32 (-.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) cosTheta_i) |
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) |
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) |
(*.f32 (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (*.f32 (/.f32 sinTheta_i cosTheta_i) (/.f32 sinTheta_O v)))) cosTheta_i) |
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(*.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_O v)) cosTheta_i) |
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) |
(*.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O) cosTheta_i) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_i)) v)) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))) |
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) cosTheta_i) (*.f32 cosTheta_O v))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)) v)) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) |
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_O (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_O (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) |
cosTheta_O |
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (*.f32 (fma.f32 (*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/6 binary32))) cosTheta_O)) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O) v)) cosTheta_O) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O) v)) cosTheta_O) |
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (/.f32 cosTheta_i v)) cosTheta_O) |
(* cosTheta_O (+ (* -1 (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)) (* cosTheta_i v))) |
(*.f32 (fma.f32 (neg.f32 v) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O) (*.f32 cosTheta_i v)) cosTheta_O) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(*.f32 (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(*.f32 (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_O) |
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(*.f32 (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (*.f32 (/.f32 sinTheta_i cosTheta_O) (/.f32 sinTheta_O v)))) cosTheta_O) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(*.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) cosTheta_O) (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) cosTheta_O) |
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O)))) |
(*.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i) cosTheta_O) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O)) v)) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ (* v (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))) |
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) cosTheta_O) (*.f32 cosTheta_i v))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) v)) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i)) v)) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))) |
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
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(* sinTheta_O sinTheta_i) |
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(* sinTheta_i (+ (* sinTheta_O v) (/ v sinTheta_i))) |
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(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
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(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i) |
(/ (* sinTheta_O sinTheta_i) v) |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i) |
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v)) sinTheta_i) |
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) |
(*.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (neg.f32 sinTheta_O)) v) sinTheta_i) |
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) |
(*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) sinTheta_O) sinTheta_i) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O (* cosTheta_i v)) v) sinTheta_i)) (* -1 (* sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i v) cosTheta_O) v) sinTheta_i) #s(literal -1 binary32) (*.f32 sinTheta_O v))) |
(* -1 (* sinTheta_i (+ (* -1 (* sinTheta_O v)) (* -1 (/ v sinTheta_i))))) |
(*.f32 (neg.f32 sinTheta_i) (neg.f32 (fma.f32 sinTheta_O v (/.f32 v sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (/.f32 sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O)))) |
(*.f32 (neg.f32 sinTheta_i) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) sinTheta_O))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v) (*.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (*.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
sinTheta_O |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(fma.f32 (fma.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) sinTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32))) sinTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32))) sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) sinTheta_O (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal -1/6 binary32))) sinTheta_O (*.f32 (/.f32 (neg.f32 sinTheta_i) v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) sinTheta_O (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(fma.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O)) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (*.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) sinTheta_O) (*.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v)) sinTheta_O) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v)) sinTheta_O) |
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v)))) |
(*.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)) v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O) |
(* sinTheta_O (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O) (+ (* sinTheta_i v) (/ v sinTheta_O)))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i v) cosTheta_O) sinTheta_O) (fma.f32 sinTheta_i v (/.f32 v sinTheta_O))) sinTheta_O) |
(* sinTheta_O (+ (* sinTheta_i v) (/ v sinTheta_O))) |
(*.f32 (fma.f32 sinTheta_i v (/.f32 v sinTheta_O)) sinTheta_O) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O) |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v)) sinTheta_O) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v) sinTheta_O) |
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) |
(*.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)) v) sinTheta_O) |
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) |
(*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) sinTheta_O) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (neg.f32 sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) (neg.f32 sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v)))) |
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O (* cosTheta_i v)) v) sinTheta_O)) (* -1 (* sinTheta_i v))))) |
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#s(literal -6931/10000 binary32) |
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(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 2 binary32)) v)) #s(literal 1/4 binary32) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (neg.f32 v))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 3 binary32)) v)) #s(literal 1/12 binary32) (*.f32 (*.f32 #s(literal -1/4 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 2 binary32)) v)) #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 2 binary32)))) (neg.f32 v))) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)) |
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)) |
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) |
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+.f32 (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))))) v) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(fma.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) v))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) v) #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(fma.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32) (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32))))) (neg.f32 v))) (fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) v))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) v) #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v))) |
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) v)) #s(literal -1/2 binary32))) (neg.f32 v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v))) |
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) v)) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) v))) (neg.f32 v))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal -1 binary32) v))) (log.f32 #s(literal -1/2 binary32))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) #s(literal -1/2 binary32) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal -6931/10000 binary32))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v))) |
(fma.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) #s(literal 1/6 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal 1/2 binary32))) v) (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal -6931/10000 binary32))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 458 |
| 0 | 95 | 420 |
| 1 | 429 | 387 |
| 2 | 3762 | 387 |
| 0 | 8141 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) |
(-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) |
(*.f32 v (*.f32 cosTheta_O cosTheta_i)) |
v |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
(*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) |
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) |
sinTheta_O |
sinTheta_i |
#s(literal 1 binary32) |
(*.f32 v v) |
#s(literal 6931/10000 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) |
(*.f32 sinTheta_O sinTheta_i) |
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) |
(/.f32 #s(literal 1 binary32) v) |
| Outputs |
|---|
(*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32))) |
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))) |
(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32))) |
(*.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) |
(*.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) |
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) |
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (log.f32 #s(literal 1/2 binary32)))) v) |
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) v)) |
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) |
(/.f32 (exp.f32 (*.f32 (/.f32 (*.f32 cosTheta_O v) v) (/.f32 cosTheta_i v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))) (neg.f32 (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
(/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)))) |
(+.f32 (/.f32 (cosh.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (sinh.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) |
(+.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) |
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) |
(neg.f32 (/.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(neg.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))) |
(/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32))) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) |
(/.f32 (-.f32 (*.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
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(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v)) (*.f32 (neg.f32 v) #s(literal -1 binary32))) (*.f32 v v)) |
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(/.f32 (-.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) v) (*.f32 v v)) |
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(/.f32 (-.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)) (neg.f32 v)) |
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(/.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (*.f32 v v)) |
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(-.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 v #s(literal -3 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32))))) |
(-.f32 (*.f32 (/.f32 (*.f32 cosTheta_O v) v) (/.f32 cosTheta_i v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) |
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(fma.f32 (/.f32 (*.f32 cosTheta_O v) (neg.f32 v)) (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (/.f32 (*.f32 cosTheta_O v) v) (/.f32 cosTheta_i v) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 v (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (/.f32 v (neg.f32 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (/.f32 v v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v v) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v (*.f32 v v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(fma.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(+.f32 (*.f32 (/.f32 (*.f32 cosTheta_O v) v) (/.f32 cosTheta_i v)) (/.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v))) |
(neg.f32 (/.f32 (*.f32 (neg.f32 v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (*.f32 v v))) |
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (*.f32 v (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (pow.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32))) (*.f32 v (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))) |
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(-.f32 (*.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v) |
(-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (neg.f32 (neg.f32 v)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) |
(fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)) |
(fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)) |
(fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(fma.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta_i cosTheta_O) v)) |
(fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v) (*.f32 (*.f32 cosTheta_i cosTheta_O) v)) |
(fma.f32 (*.f32 cosTheta_i cosTheta_O) v (*.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)) |
(fma.f32 (*.f32 cosTheta_i cosTheta_O) v (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(fma.f32 cosTheta_i (*.f32 cosTheta_O v) (*.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)) |
(fma.f32 cosTheta_i (*.f32 cosTheta_O v) (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i v) (*.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i v) (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)) |
(fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(+.f32 (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta_i cosTheta_O) v)) |
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(+.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (neg.f32 v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) |
(*.f32 (*.f32 v cosTheta_i) cosTheta_O) |
(*.f32 (*.f32 cosTheta_O v) cosTheta_i) |
(*.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(*.f32 cosTheta_i (*.f32 cosTheta_O v)) |
(*.f32 cosTheta_O (*.f32 cosTheta_i v)) |
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(*.f32 (sqrt.f32 (neg.f32 (neg.f32 v))) (sqrt.f32 (neg.f32 (neg.f32 v)))) |
(*.f32 (sqrt.f32 (neg.f32 v)) (sqrt.f32 (neg.f32 v))) |
(*.f32 (sqrt.f32 v) (sqrt.f32 v)) |
(*.f32 #s(literal 1 binary32) v) |
(*.f32 v #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 v v)) |
(pow.f32 (neg.f32 v) #s(literal 1 binary32)) |
(pow.f32 (*.f32 v v) #s(literal 1/2 binary32)) |
(pow.f32 v #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 v))) |
(fabs.f32 (neg.f32 v)) |
(fabs.f32 v) |
(+.f32 (cosh.f32 (log.f32 v)) (sinh.f32 (log.f32 v))) |
(exp.f32 (/.f32 (*.f32 (log.f32 v) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 v) #s(literal 1 binary32))) |
(exp.f32 (log.f32 v)) |
v |
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) |
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) |
(*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1 binary32))) |
(*.f32 cosTheta_i cosTheta_O) |
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1 binary32))) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
(*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) |
(*.f32 v (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) v) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1 binary32)) v) (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O))) |
(/.f32 (*.f32 v (-.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) |
(/.f32 (*.f32 v (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32)) (*.f32 v v)) (-.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) v)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32)) (-.f32 (*.f32 v v) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) v)))) |
(-.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 #s(literal -1 binary32) v)) |
(-.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (neg.f32 v) #s(literal 1 binary32))) |
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 v))) (sqrt.f32 (neg.f32 (neg.f32 v))) (*.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(fma.f32 (sqrt.f32 (neg.f32 v)) (sqrt.f32 (neg.f32 v)) (*.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(fma.f32 (sqrt.f32 v) (sqrt.f32 v) (*.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(fma.f32 (*.f32 v sinTheta_i) sinTheta_O v) |
(fma.f32 (*.f32 v sinTheta_O) sinTheta_i v) |
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(fma.f32 sinTheta_i (*.f32 sinTheta_O v) v) |
(fma.f32 sinTheta_O (*.f32 sinTheta_i v) v) |
(fma.f32 v (*.f32 sinTheta_i sinTheta_O) v) |
(fma.f32 v #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
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(+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) |
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sinTheta_O |
sinTheta_i |
#s(literal 1 binary32) |
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(+.f32 v v) |
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) v))) |
#s(literal 2 binary32) |
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(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))) |
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#s(literal 1/2 binary32) |
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(+.f32 (cosh.f32 #s(literal -6931/10000 binary32)) (sinh.f32 #s(literal 6931/10000 binary32))) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))) |
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(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) |
(*.f32 (fabs.f32 (pow.f32 v #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 v #s(literal -1/2 binary32)))) |
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) |
(/.f32 #s(literal -1 binary32) (neg.f32 v)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 v))) |
(/.f32 #s(literal 1 binary32) v) |
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (neg.f32 v)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 v v) #s(literal -1/2 binary32)) |
(pow.f32 v #s(literal -1 binary32)) |
(fabs.f32 (/.f32 #s(literal -1 binary32) v)) |
(fabs.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) |
(fabs.f32 (/.f32 #s(literal 1 binary32) v)) |
(+.f32 (cosh.f32 (neg.f32 (log.f32 v))) (sinh.f32 (neg.f32 (log.f32 v)))) |
(exp.f32 (neg.f32 (log.f32 v))) |
(neg.f32 (/.f32 #s(literal -1 binary32) v)) |
Compiled 47 313 to 5 823 computations (87.7% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 156 | 11 | 1 167 |
| Fresh | 4 | 1 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 164 | 13 | 1 177 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) | |
| 85.3% | (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) | |
| 48.2% | (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))))) | |
| ▶ | 90.4% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
| 77.0% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.0% | (/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 12.8% | (exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) | |
| 95.4% | (exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) sinTheta_i) (*.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) | |
| ▶ | 99.3% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v))))) |
| ▶ | 98.1% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
| ▶ | 4.6% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
| ▶ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
| ✓ | 4.6% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
Compiled 1 018 to 743 computations (27% saved)
| Inputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) |
#s(literal 6931/10000 binary32) |
(/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) |
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 #s(literal 6931/10000 binary32)) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) |
#s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
cosTheta_O |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v))))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v)))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v)) |
(-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) |
(*.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(*.f32 v v) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) |
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) |
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
(*.f32 sinTheta_i sinTheta_O) |
sinTheta_i |
sinTheta_O |
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) |
(/.f32 #s(literal 1 binary32) v) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
-1 |
(- (* cosTheta_O cosTheta_i) 1) |
(* cosTheta_O cosTheta_i) |
cosTheta_i |
(* -1 v) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(* cosTheta_O (* cosTheta_i v)) |
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) |
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v)) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) |
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(* cosTheta_i (+ (* -1 (/ v cosTheta_i)) (* cosTheta_O v))) |
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) |
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ v cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
cosTheta_O |
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(* cosTheta_O (+ (* -1 (/ v cosTheta_O)) (* cosTheta_i v))) |
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ v cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(exp (- 6931/10000 (/ 1 v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(/ 1 v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
1 |
(+ 1 (* sinTheta_O sinTheta_i)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) |
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) |
(log (/ 1/2 v)) |
(+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_O sinTheta_i) |
sinTheta_i |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(* sinTheta_i (- (/ (log (/ 1/2 v)) sinTheta_i) (/ sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
sinTheta_O |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(* sinTheta_O (- (/ (log (/ 1/2 v)) sinTheta_O) (/ sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (log (/ 1/2 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(/ 1/2 v) |
v |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (* sinTheta_O sinTheta_i)) v) |
(* 1/2 (/ (exp 6931/10000) v)) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(+ 6931/10000 (+ (log 1/2) (* -1 (log v)))) |
(+ (log 1/2) (* -1 (log v))) |
(* v (- (* cosTheta_O cosTheta_i) 1)) |
(pow v 2) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v) |
(/ (- (* v (+ (log 1/2) (* -1 (log v)))) (* sinTheta_O sinTheta_i)) v) |
(exp (- (/ 1 v) 6931/10000)) |
(/ (+ 1 (* -6931/10000 v)) v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
6931/10000 |
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ (log 1/2) (log (/ 1 v))) |
(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) |
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000)))) |
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))) |
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))))))) |
(exp (+ (log 1/2) (log (/ 1 v)))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))) |
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) |
(exp -6931/10000) |
(+ (exp -6931/10000) (/ (exp -6931/10000) v)) |
(+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))) |
(+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))) |
-6931/10000 |
(- (/ 1 v) 6931/10000) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v))))) |
(+ (log -1/2) (log (/ -1 v))) |
(* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)) |
(* -1 (* v (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) |
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)) |
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | cosTheta_i | @ | inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 v) 1/2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (* (* cosTheta_i cosTheta_O) v) (* v v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 11.0ms | v | @ | inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 v) 1/2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (* (* cosTheta_i cosTheta_O) v) (* v v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 11.0ms | v | @ | -inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 v) 1/2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (* (* cosTheta_i cosTheta_O) v) (* v v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 10.0ms | v | @ | 0 | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 v) 1/2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (* (* cosTheta_i cosTheta_O) v) (* v v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 8.0ms | sinTheta_O | @ | -inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 v) 1/2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (* (* cosTheta_i cosTheta_O) v) (* v v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (/ 1 v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 936 | 6266 |
| 1 | 3322 | 5934 |
| 0 | 8760 | 5655 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
-1 |
(- (* cosTheta_O cosTheta_i) 1) |
(* cosTheta_O cosTheta_i) |
cosTheta_i |
(* -1 v) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(* cosTheta_O (* cosTheta_i v)) |
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) |
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v)) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) |
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(* cosTheta_i (+ (* -1 (/ v cosTheta_i)) (* cosTheta_O v))) |
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) |
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ v cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
cosTheta_O |
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(* cosTheta_O (+ (* -1 (/ v cosTheta_O)) (* cosTheta_i v))) |
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ v cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(exp (- 6931/10000 (/ 1 v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(/ 1 v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
1 |
(+ 1 (* sinTheta_O sinTheta_i)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) |
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) |
(log (/ 1/2 v)) |
(+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_O sinTheta_i) |
sinTheta_i |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(* sinTheta_i (- (/ (log (/ 1/2 v)) sinTheta_i) (/ sinTheta_O v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
sinTheta_O |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(* sinTheta_O (- (/ (log (/ 1/2 v)) sinTheta_O) (/ sinTheta_i v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (log (/ 1/2 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(/ 1/2 v) |
v |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (* sinTheta_O sinTheta_i)) v) |
(* 1/2 (/ (exp 6931/10000) v)) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(+ 6931/10000 (+ (log 1/2) (* -1 (log v)))) |
(+ (log 1/2) (* -1 (log v))) |
(* v (- (* cosTheta_O cosTheta_i) 1)) |
(pow v 2) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v) |
(/ (- (* v (+ (log 1/2) (* -1 (log v)))) (* sinTheta_O sinTheta_i)) v) |
(exp (- (/ 1 v) 6931/10000)) |
(/ (+ 1 (* -6931/10000 v)) v) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
6931/10000 |
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ (log 1/2) (log (/ 1 v))) |
(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) |
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000)))) |
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))) |
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000)))))))))) |
(exp (+ (log 1/2) (log (/ 1 v)))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))) |
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))) |
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) |
(exp -6931/10000) |
(+ (exp -6931/10000) (/ (exp -6931/10000) v)) |
(+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))) |
(+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))) |
-6931/10000 |
(- (/ 1 v) 6931/10000) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v))))) |
(+ (log -1/2) (log (/ -1 v))) |
(* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)) |
(* -1 (* v (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) |
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)) |
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v))) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (*.f32 cosTheta_O (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) |
(/ -1 v) |
(/.f32 #s(literal -1 binary32) v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
-1 |
#s(literal -1 binary32) |
(- (* cosTheta_O cosTheta_i) 1) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(* cosTheta_O cosTheta_i) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_i |
(* -1 v) |
(neg.f32 v) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(-.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) v) |
(* cosTheta_O (* cosTheta_i v)) |
(*.f32 (*.f32 v cosTheta_i) cosTheta_O) |
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) |
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_O v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) |
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_O cosTheta_O)) v) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) |
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) |
(+.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) |
(/ (* cosTheta_O cosTheta_i) v) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v cosTheta_i))) cosTheta_i) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(*.f32 (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(*.f32 (-.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) cosTheta_i) |
(* cosTheta_i (+ (* -1 (/ v cosTheta_i)) (* cosTheta_O v))) |
(*.f32 (fma.f32 v cosTheta_O (/.f32 (neg.f32 v) cosTheta_i)) cosTheta_i) |
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) |
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) |
(*.f32 (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (*.f32 (/.f32 sinTheta_i cosTheta_i) (/.f32 sinTheta_O v)))) cosTheta_i) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ v cosTheta_i)))) |
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 v cosTheta_i) (*.f32 v cosTheta_O))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_O (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_O (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
cosTheta_O |
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (*.f32 (fma.f32 (*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/6 binary32))) cosTheta_O)) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v cosTheta_O))) cosTheta_O) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(*.f32 (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(*.f32 (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_O) |
(* cosTheta_O (+ (* -1 (/ v cosTheta_O)) (* cosTheta_i v))) |
(*.f32 (fma.f32 v cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) cosTheta_O) |
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(*.f32 (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (*.f32 (/.f32 sinTheta_i cosTheta_O) (/.f32 sinTheta_O v)))) cosTheta_O) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) v)) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ v cosTheta_O)))) |
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 v cosTheta_O) (*.f32 v cosTheta_i))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v) (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(fma.f32 (fma.f32 (*.f32 sinTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) sinTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32))) sinTheta_i (*.f32 (*.f32 sinTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32))) sinTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(exp (- 6931/10000 (/ 1 v))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32))) sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (fma.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(- 6931/10000 (/ 1 v)) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(-.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(/ 1 v) |
(/.f32 #s(literal 1 binary32) v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) |
1 |
#s(literal 1 binary32) |
(+ 1 (* sinTheta_O sinTheta_i)) |
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(-.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) |
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 sinTheta_O (*.f32 (/.f32 (neg.f32 sinTheta_i) v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
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(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
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(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) |
(*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) |
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(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v)) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
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(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 sinTheta_O sinTheta_O)) v) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i (*.f32 (neg.f32 sinTheta_O) (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_i (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) |
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) |
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) |
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(log (/ 1/2 v)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(/ (* sinTheta_O sinTheta_i) v) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(* sinTheta_O sinTheta_i) |
(*.f32 sinTheta_O sinTheta_i) |
sinTheta_i |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
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(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
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(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v)) sinTheta_i) |
(* sinTheta_i (- (/ (log (/ 1/2 v)) sinTheta_i) (/ sinTheta_O v))) |
(*.f32 (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
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(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v) (*.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (*.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(fma.f32 (fma.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) sinTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32))) sinTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32))) sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) sinTheta_O (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal -1/6 binary32))) sinTheta_O (*.f32 (/.f32 (neg.f32 sinTheta_i) v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) sinTheta_O (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2)))))) |
(fma.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O)) |
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (*.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) |
sinTheta_O |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v)) sinTheta_O) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v) sinTheta_O) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) sinTheta_O) (*.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v)) sinTheta_O) |
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O) |
(* sinTheta_O (- (/ (log (/ 1/2 v)) sinTheta_O) (/ sinTheta_i v))) |
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(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(+.f32 (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))))) v) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(fma.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) v))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) v) #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) |
(fma.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32) (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32))))) (neg.f32 v))) (fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) v))) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) v) #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)) |
(fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v))) |
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) v) #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) |
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v))) |
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) v) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))) v))) (neg.f32 v))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal -1 binary32) v))) (log.f32 #s(literal -1/2 binary32))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) |
(+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (log.f32 (/.f32 #s(literal -1 binary32) v))) (log.f32 #s(literal -1/2 binary32))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) #s(literal -1/2 binary32) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal -6931/10000 binary32))) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v))) |
(fma.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) #s(literal 1/6 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal 1/2 binary32))) v) (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal -6931/10000 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 541 |
| 0 | 98 | 516 |
| 1 | 421 | 502 |
| 2 | 3383 | 502 |
| 0 | 8390 | 490 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) |
#s(literal 6931/10000 binary32) |
(/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) |
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 #s(literal 6931/10000 binary32)) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) |
#s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
cosTheta_O |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v))))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v)))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v)) |
(-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) |
(*.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(*.f32 v v) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) |
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) |
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
(*.f32 sinTheta_i sinTheta_O) |
sinTheta_i |
sinTheta_O |
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) |
(/.f32 #s(literal 1 binary32) v) |
| Outputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) v)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) (neg.f32 v)) |
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) (*.f32 #s(literal -2 binary32) v)) |
(/.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) (*.f32 #s(literal 2 binary32) v)) |
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) #s(literal -1/2 binary32)) (neg.f32 v)) |
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) v)) |
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)) |
(/.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) #s(literal 1/2 binary32))) (neg.f32 v)) |
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (*.f32 #s(literal -2 binary32) v))) |
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))) |
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) v) (exp.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
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(pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) |
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v |
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(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) |
#s(literal 6931/10000 binary32) |
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#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
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(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)))) |
(+.f32 (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))) (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))) |
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
(neg.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (neg.f32 v))) |
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(fma.f32 #s(literal 1/2 binary32) (cosh.f32 #s(literal -6931/10000 binary32)) (*.f32 #s(literal 1/2 binary32) (sinh.f32 #s(literal 6931/10000 binary32)))) |
(+.f32 (*.f32 (cosh.f32 #s(literal -6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 (sinh.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (cosh.f32 #s(literal -6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (sinh.f32 #s(literal 6931/10000 binary32)))) |
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(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal -6931/10000 binary32))) |
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(+.f32 (cosh.f32 #s(literal -6931/10000 binary32)) (sinh.f32 #s(literal 6931/10000 binary32))) |
(exp.f32 #s(literal 6931/10000 binary32)) |
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(*.f32 cosTheta_O cosTheta_i) |
(*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1 binary32))) |
(*.f32 cosTheta_i cosTheta_O) |
cosTheta_i |
cosTheta_O |
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (neg.f32 (fma.f32 v (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v) (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (*.f32 v v)) (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (fma.f32 v (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v) (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v)) (/.f32 (*.f32 v v) (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (fma.f32 v (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v) (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 v #s(literal 3 binary32)) (fma.f32 v (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) v) (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))))) |
(-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) v) |
(*.f32 (*.f32 v cosTheta_i) cosTheta_O) |
(*.f32 (*.f32 v cosTheta_O) cosTheta_i) |
(*.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(*.f32 v (*.f32 cosTheta_O cosTheta_i)) |
(*.f32 cosTheta_O (*.f32 cosTheta_i v)) |
(*.f32 cosTheta_i (*.f32 v cosTheta_O)) |
(*.f32 (neg.f32 (neg.f32 (neg.f32 v))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(*.f32 (neg.f32 (neg.f32 v)) (neg.f32 (neg.f32 v))) |
(*.f32 (neg.f32 v) (neg.f32 v)) |
(*.f32 v v) |
(sqrt.f32 (pow.f32 v #s(literal 4 binary32))) |
(pow.f32 (neg.f32 (neg.f32 v)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 v) #s(literal 2 binary32)) |
(pow.f32 (*.f32 v v) #s(literal 1 binary32)) |
(pow.f32 v #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (neg.f32 v) v)) |
(fabs.f32 (*.f32 v v)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 v) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 v)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 v) v)) |
(*.f32 (exp.f32 (-.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (neg.f32 (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (neg.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+.f32 (/.f32 (cosh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (sinh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+.f32 (cosh.f32 (-.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (sinh.f32 (-.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(exp.f32 (-.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(neg.f32 (/.f32 (neg.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(neg.f32 (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (sinh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) |
(+.f32 (sinh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (cosh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) |
(+.f32 (cosh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (sinh.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) |
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) |
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(-.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) |
(-.f32 #s(literal 0 binary32) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) |
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(*.f32 (/.f32 sinTheta_O v) sinTheta_i) |
(*.f32 sinTheta_O (/.f32 sinTheta_i v)) |
(*.f32 sinTheta_i (/.f32 sinTheta_O v)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 (neg.f32 v))) |
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v)) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(neg.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) |
(*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) |
(*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1 binary32))) |
(*.f32 sinTheta_O sinTheta_i) |
(*.f32 sinTheta_i (*.f32 sinTheta_O #s(literal 1 binary32))) |
(*.f32 sinTheta_i sinTheta_O) |
sinTheta_i |
sinTheta_O |
(/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (sinh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) |
(/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(+.f32 (sinh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (cosh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(+.f32 (cosh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (sinh.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) |
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(/.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v))) |
(-.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(-.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) |
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) |
(*.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (neg.f32 (pow.f32 v #s(literal -1/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 v #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 v #s(literal -1/2 binary32)))) |
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) |
(sqrt.f32 (pow.f32 v #s(literal -2 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 v)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 v))) |
(/.f32 #s(literal 1 binary32) v) |
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (neg.f32 v)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 v v) #s(literal -1/2 binary32)) |
(pow.f32 v #s(literal -1 binary32)) |
(fabs.f32 (/.f32 #s(literal -1 binary32) v)) |
(fabs.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) |
(fabs.f32 (/.f32 #s(literal 1 binary32) v)) |
(+.f32 (cosh.f32 (neg.f32 (log.f32 v))) (sinh.f32 (neg.f32 (log.f32 v)))) |
(exp.f32 (neg.f32 (log.f32 v))) |
(neg.f32 (/.f32 #s(literal -1 binary32) v)) |
Compiled 41 245 to 4 019 computations (90.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 806 | 8 | 814 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 816 | 11 | 827 |
| Status | Accuracy | Program |
|---|---|---|
| 90.8% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 48.9% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))))) | |
| 88.0% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (*.f32 (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.0% | (/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 95.4% | (exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) sinTheta_i) (*.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) | |
| ▶ | 99.3% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))))) |
| ▶ | 98.1% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
| ▶ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
| ▶ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
| ▶ | 99.0% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
| ✓ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
Compiled 1 004 to 729 computations (27.4% saved)
| Inputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log.f32 (*.f32 #s(literal 2 binary32) v)) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
v |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) |
#s(literal 6931/10000 binary32) |
(/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) |
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v))) |
#s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)) |
(/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v) |
#s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
(/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) |
#s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) |
(neg.f32 v) |
(*.f32 v v) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) |
(exp.f32 (log.f32 v)) |
(log.f32 v) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
#s(literal 48038761/100000000 binary32) |
(+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
(pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
-1 |
(- (* cosTheta_O cosTheta_i) 1) |
(* -1 v) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_O cosTheta_i) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(* cosTheta_O (* cosTheta_i v)) |
(* cosTheta_i (+ (* -1 (/ v cosTheta_i)) (* cosTheta_O v))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ v cosTheta_i)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(* cosTheta_O (+ (* -1 (/ v cosTheta_O)) (* cosTheta_i v))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ v cosTheta_O)))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(exp (- 6931/10000 (/ 1 v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(/ 1 v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
1 |
(+ 1 (* sinTheta_O sinTheta_i)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) |
(+ (* 1/2 (* sinTheta_i (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) |
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(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) |
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(+ (* sinTheta_i (- (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_i (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_i (- (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_i (- (+ (* sinTheta_i (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) 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(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* -48038761/100000000 (/ (* sinTheta_O (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))) |
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v))) |
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ 6931/10000 (/ 1 v)) |
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))) |
(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(/ 1 (pow v 2)) |
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2))) |
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2))) |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(* sinTheta_O sinTheta_i) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ 1/2 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* 48038761/200000000 (/ 1 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_i 2))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_i 2))) (+ (* 1/2 (/ (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (pow sinTheta_i 3))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) |
(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) |
(+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))) |
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))) |
(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))))) |
(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))))) |
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) |
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i) |
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i) |
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i) |
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i)))) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2)))))) |
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2)))))) |
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)) |
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2)))) |
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(+ (* -1 (/ (- (* -1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 48038761/200000000 (/ 1 (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (* 1/2 (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) sinTheta_i)) (* 48038761/200000000 (/ 1 (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* -48038761/100000000 (/ v (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (* -48038761/100000000 (/ v (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_O 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 3))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2))))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))) |
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)) |
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i))))) |
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(+ (* 1/2 (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))))) (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_O (+ (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* 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v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) (* 1/2 (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))))))))) |
(+ (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (+ (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 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6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))) |
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2))) |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_O 2))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_O 2))) (+ (* 1/2 (/ (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (pow sinTheta_O 3))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) |
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O) |
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O) |
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O) |
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O)))) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i))))) |
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i))))) |
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2)))) |
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(+ (* -1 (/ (- (* -1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* 48038761/200000000 (/ 1 (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (* 1/2 (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) sinTheta_O)) (* 48038761/200000000 (/ 1 (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* -48038761/100000000 (/ v (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (* -48038761/100000000 (/ v (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_i 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 3))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2))))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))) |
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)) |
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O))))) |
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2)))) |
(* (exp (* -1 (+ (log 2) (log v)))) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) |
(exp (* -1 (+ (log 2) (log v)))) |
(+ (log 2) (log v)) |
(* 2 v) |
v |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (* sinTheta_O sinTheta_i)) v) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(+ 6931/10000 (+ (log 1/2) (* -1 (log v)))) |
(+ (log 1/2) (* -1 (log v))) |
(/ 1/2 v) |
(* v (- (* cosTheta_O cosTheta_i) 1)) |
(pow v 2) |
(log v) |
(/ (+ (* 48038761/200000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v) |
(/ (+ (* v (+ (* -4351410491404879/40000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 48038761/200000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v) |
(/ (+ (* v (+ (* v (- (* 535804164344572917445081/12000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/40000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/200000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v) |
(+ (* 48038761/100000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
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(+ (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/20000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/100000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ 1 (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))) |
(+ 1 (* v (+ (* -4351410491404879/20000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))) |
(+ 1 (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 4351410491404879/20000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))) |
(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) |
(* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v) |
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v) |
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* 1/2 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v))))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))))))) |
(exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) |
(+ (log 2) (* -1 (log (/ 1 v)))) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
6931/10000 |
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ (log 1/2) (log (/ 1 v))) |
(* 1/2 (/ (exp 6931/10000) v)) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(* -1 (log (/ 1 v))) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* -10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))))) v) |
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))) |
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) |
(- (+ 6931/10000 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) |
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) |
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))))))) |
(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) |
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
(/ (- (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2)))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (pow v 2)) |
(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2)) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 1/2 (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))) |
(exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) |
(+ (log -2) (* -1 (log (/ -1 v)))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v))))) |
(+ (log -1/2) (log (/ -1 v))) |
(* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)) |
(* -1 (* v (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (log -1) (* -1 (log (/ -1 v)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) |
(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 96.0ms | v | @ | 0 | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (pow (exp -1) (log (* 2 v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (pow (exp -1) (log (* 2 v))) (exp -1) -1 (log (* 2 v)) (* 2 v) 2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (neg v) (* v v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 (exp (log v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 (exp (log v))) (exp (log v)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)))) (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2)) |
| 46.0ms | v | @ | -inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (pow (exp -1) (log (* 2 v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (pow (exp -1) (log (* 2 v))) (exp -1) -1 (log (* 2 v)) (* 2 v) 2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (neg v) (* v v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 (exp (log v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 (exp (log v))) (exp (log v)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)))) (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2)) |
| 44.0ms | sinTheta_O | @ | inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (pow (exp -1) (log (* 2 v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (pow (exp -1) (log (* 2 v))) (exp -1) -1 (log (* 2 v)) (* 2 v) 2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (neg v) (* v v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 (exp (log v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 (exp (log v))) (exp (log v)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)))) (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2)) |
| 43.0ms | v | @ | inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (pow (exp -1) (log (* 2 v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (pow (exp -1) (log (* 2 v))) (exp -1) -1 (log (* 2 v)) (* 2 v) 2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (neg v) (* v v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 (exp (log v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 (exp (log v))) (exp (log v)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)))) (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2)) |
| 39.0ms | sinTheta_i | @ | inf | ((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (pow (exp -1) (log (* 2 v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (pow (exp -1) (log (* 2 v))) (exp -1) -1 (log (* 2 v)) (* 2 v) 2 v (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) 1 (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_i cosTheta_O) 1) v) (- (* cosTheta_i cosTheta_O) 1) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v))) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 (/ (- (* (* cosTheta_i cosTheta_O) v) v) (* v v)) (- (* (* cosTheta_i cosTheta_O) v) v) (neg v) (* v v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 (exp (log v))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (/ 1/2 (exp (log v))) (exp (log v)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)))) (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000)) (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1825 | 19360 |
| 1 | 6407 | 18653 |
| 0 | 8493 | 17879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
-1 |
(- (* cosTheta_O cosTheta_i) 1) |
(* -1 v) |
(- (* cosTheta_O (* cosTheta_i v)) v) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_O cosTheta_i) |
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i))) |
(* cosTheta_O (* cosTheta_i v)) |
(* cosTheta_i (+ (* -1 (/ v cosTheta_i)) (* cosTheta_O v))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i)))) |
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ v cosTheta_i)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(* cosTheta_O (+ (* -1 (/ v cosTheta_O)) (* cosTheta_i v))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))) |
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O)))) |
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ v cosTheta_O)))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(exp (- 6931/10000 (/ 1 v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) |
(/ 1 v) |
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) |
1 |
(+ 1 (* sinTheta_O sinTheta_i)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) |
(+ (* 1/2 (* sinTheta_i (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))))) (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_i (+ (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* 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v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) (* 1/2 (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 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(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) |
(+ (* sinTheta_i (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_i (- (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_i (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_i (- (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_i (- (+ (* sinTheta_i (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 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6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* -48038761/100000000 (/ (* sinTheta_O (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))) |
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v))) |
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ 6931/10000 (/ 1 v)) |
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))) |
(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(/ 1 (pow v 2)) |
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2))) |
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2))) |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) |
(* sinTheta_O sinTheta_i) |
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ 1/2 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* 48038761/200000000 (/ 1 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_i 2))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_i 2))) (+ (* 1/2 (/ (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (pow sinTheta_i 3))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) |
(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) |
(+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))) |
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))) |
(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))))) |
(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))))) |
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) |
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i) |
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i) |
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i) |
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i)))) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2)))))) |
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2)))))) |
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)) |
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2)))) |
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(+ (* -1 (/ (- (* -1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 48038761/200000000 (/ 1 (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (* 1/2 (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) sinTheta_i)) (* 48038761/200000000 (/ 1 (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* -48038761/100000000 (/ v (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (* -48038761/100000000 (/ v (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_O 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 3))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2))))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))) |
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)) |
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i))))) |
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2)))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(+ (* 1/2 (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))))) (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_O (+ (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* 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v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) (* 1/2 (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))))))))) |
(+ (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (+ (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 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6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))) |
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2))) |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_O 2))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_O 2))) (+ (* 1/2 (/ (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (pow sinTheta_O 3))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) |
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O) |
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O) |
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O) |
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O)))) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i))))) |
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i))))) |
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2)))) |
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(+ (* -1 (/ (- (* -1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* 48038761/200000000 (/ 1 (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (* 1/2 (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) sinTheta_O)) (* 48038761/200000000 (/ 1 (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* -48038761/100000000 (/ v (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (* -48038761/100000000 (/ v (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_i 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 3))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2))))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))) |
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)) |
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O))))) |
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2)))) |
(* (exp (* -1 (+ (log 2) (log v)))) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) |
(exp (* -1 (+ (log 2) (log v)))) |
(+ (log 2) (log v)) |
(* 2 v) |
v |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (* sinTheta_O sinTheta_i)) v) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(+ 6931/10000 (+ (log 1/2) (* -1 (log v)))) |
(+ (log 1/2) (* -1 (log v))) |
(/ 1/2 v) |
(* v (- (* cosTheta_O cosTheta_i) 1)) |
(pow v 2) |
(log v) |
(/ (+ (* 48038761/200000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v) |
(/ (+ (* v (+ (* -4351410491404879/40000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 48038761/200000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v) |
(/ (+ (* v (+ (* v (- (* 535804164344572917445081/12000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/40000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/200000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v) |
(+ (* 48038761/100000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
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(+ (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/20000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/100000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(+ 1 (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))) |
(+ 1 (* v (+ (* -4351410491404879/20000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))) |
(+ 1 (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 4351410491404879/20000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))) |
(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) |
(* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) |
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v) |
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v) |
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v) |
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) |
(* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* 1/2 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v))))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* (exp 6931/10000) (exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))))))) |
(exp (* -1 (+ (log 2) (* -1 (log (/ 1 v)))))) |
(+ (log 2) (* -1 (log (/ 1 v)))) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
6931/10000 |
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ (log 1/2) (log (/ 1 v))) |
(* 1/2 (/ (exp 6931/10000) v)) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(* -1 (log (/ 1 v))) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) v) |
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* -10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))))) v) |
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))) |
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) |
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) |
(- (+ 6931/10000 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) |
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) |
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))))))) |
(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) |
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
(/ (- (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2)))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (pow v 2)) |
(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2)) |
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) |
(+ (* -1 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 1/2 (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* (exp 6931/10000) (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))) |
(exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) |
(+ (log -2) (* -1 (log (/ -1 v)))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v))))) |
(+ (log -1/2) (log (/ -1 v))) |
(* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)) |
(* -1 (* v (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (log -1) (* -1 (log (/ -1 v)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) |
(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
| Outputs |
|---|
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
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(*.f32 (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i) |
(* cosTheta_O cosTheta_i) |
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(* cosTheta_O (* cosTheta_i v)) |
(*.f32 (*.f32 v cosTheta_i) cosTheta_O) |
(* cosTheta_i (+ (* -1 (/ v cosTheta_i)) (* cosTheta_O v))) |
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v)))) |
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(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v)))) |
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(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O))) |
(*.f32 (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_O) |
(* cosTheta_O (+ (* -1 (/ v cosTheta_O)) (* cosTheta_i v))) |
(*.f32 (fma.f32 v cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) cosTheta_O) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
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(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
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(exp (- 6931/10000 (/ 1 v))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) |
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(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) |
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(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) |
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* -48038761/100000000 (/ (* sinTheta_O (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2))))) |
(fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) #s(literal -48038761/100000000 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -48038761/100000000 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) sinTheta_i) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))) #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (*.f32 v v)))))) sinTheta_i (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) sinTheta_i) (fma.f32 (/.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))) #s(literal -48038761/100000000 binary32) (fma.f32 (/.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 6 binary32))) #s(literal -110860132438012536505081/6000000000000000000000000 binary32) (*.f32 (/.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 5 binary32))) #s(literal -2307722558415121/10000000000000000 binary32)))) (*.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))) #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (*.f32 v v)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) sinTheta_i (*.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -48038761/100000000 binary32))) sinTheta_i (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v))) |
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) |
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
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(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(fma.f32 (*.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))) (/.f32 sinTheta_O (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))) sinTheta_i (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -48038761/100000000 binary32) (-.f32 (*.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (/.f32 sinTheta_i (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))))) sinTheta_i (*.f32 #s(literal -48038761/100000000 binary32) (/.f32 sinTheta_O (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))) sinTheta_i (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ 6931/10000 (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
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(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
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(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
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(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
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(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))) |
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(+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ v (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (+ (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))) |
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(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))) |
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(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))))) |
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) |
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(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i) |
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(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i) |
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(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i) |
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(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) |
(exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i)))) |
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(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2)))))) |
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(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) v) sinTheta_O))) (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O)) #s(literal -1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) v) sinTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) (*.f32 sinTheta_i sinTheta_i)) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)))) sinTheta_i) |
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)) |
(*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) |
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2)))) |
(*.f32 (fma.f32 (/.f32 sinTheta_O (*.f32 (*.f32 v v) sinTheta_i)) #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))) (*.f32 sinTheta_i sinTheta_i)) |
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))) |
(*.f32 (fma.f32 (/.f32 sinTheta_O (*.f32 (*.f32 v v) sinTheta_i)) #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_O (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 sinTheta_i sinTheta_i)) |
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v))) |
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))) |
(*.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_i) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 sinTheta_O v)))) |
(+ (* -1 (/ (- (* -1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 48038761/200000000 (/ 1 (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal 2307722558415121/20000000000000000 binary32) v (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v))) (*.f32 (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 sinTheta_O sinTheta_O))) sinTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal 48038761/200000000 binary32) (*.f32 (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) sinTheta_O))) sinTheta_i) #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (* 1/2 (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) sinTheta_i)) (* 48038761/200000000 (/ 1 (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (* -48038761/100000000 (/ v (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (/.f32 v sinTheta_O) (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 v v) (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) (*.f32 (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i) #s(literal -1 binary32) (exp.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_i)) (* -48038761/100000000 (/ v (* sinTheta_O (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_i)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (/.f32 v sinTheta_O) (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 v sinTheta_O) #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) #s(literal -48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 2307722558415121/10000000000000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal -110860132438012536505081/6000000000000000000000000 binary32) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 sinTheta_O #s(literal 3 binary32))))) sinTheta_i) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 v v) (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) (*.f32 (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 sinTheta_O sinTheta_O)))) sinTheta_i))) sinTheta_i) #s(literal -1 binary32) (exp.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 v sinTheta_O) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 v v))) (*.f32 sinTheta_O sinTheta_O)) sinTheta_i))) sinTheta_i) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_O 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 3))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2))))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 v sinTheta_O) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 v #s(literal 3 binary32))) (pow.f32 sinTheta_O #s(literal 3 binary32))) #s(literal -48038761/100000000 binary32) (/.f32 (fma.f32 #s(literal 2307722558415121/10000000000000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal -110860132438012536505081/6000000000000000000000000 binary32) (pow.f32 v #s(literal 3 binary32)))) (pow.f32 sinTheta_O #s(literal 3 binary32)))) sinTheta_i) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 v v))) (*.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i) #s(literal -1 binary32) #s(literal 1 binary32)) |
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 v sinTheta_O) #s(literal -48038761/100000000 binary32))) sinTheta_i)) |
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 v sinTheta_O) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) (-.f32 (*.f32 (pow.f32 (/.f32 v sinTheta_O) #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) sinTheta_i)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 sinTheta_O sinTheta_O)))) sinTheta_i))) sinTheta_i)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 v sinTheta_O) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 v #s(literal 4 binary32))) (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i)) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 v #s(literal 3 binary32))) (pow.f32 sinTheta_O #s(literal 3 binary32))))) sinTheta_i) #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 sinTheta_O sinTheta_O)) #s(literal -48038761/100000000 binary32))) sinTheta_i))) sinTheta_i)) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i))))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i))))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_i) #s(literal -1 binary32) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i))))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) v) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)) sinTheta_i) #s(literal -1 binary32) (/.f32 (neg.f32 sinTheta_O) v))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i))))) |
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (fma.f32 (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) v) sinTheta_O) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) v) sinTheta_O) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))) sinTheta_i) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) sinTheta_i) #s(literal -1 binary32) (/.f32 (neg.f32 sinTheta_O) v))) |
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 sinTheta_O (*.f32 v v))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v v) sinTheta_i))) sinTheta_i) #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))) (*.f32 sinTheta_i sinTheta_i)) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)))) sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)))) sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3)))))) |
(fma.f32 (fma.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) sinTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) #s(literal -1/2 binary32))) sinTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (* 1/2 (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) sinTheta_i)) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) |
(+ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))))) (* 1/2 (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* (pow v 2) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))))) |
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(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) |
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(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))) #s(literal -48038761/100000000 binary32) (fma.f32 (/.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 6 binary32))) #s(literal -110860132438012536505081/6000000000000000000000000 binary32) (*.f32 (/.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 5 binary32))) #s(literal -2307722558415121/10000000000000000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) sinTheta_O (*.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))) #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 sinTheta_i sinTheta_i)) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (*.f32 v v)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (*.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -48038761/100000000 binary32))) sinTheta_O (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(fma.f32 (*.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))) (/.f32 sinTheta_i (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))) sinTheta_O (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -48038761/100000000 binary32) (-.f32 (*.f32 sinTheta_O (/.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 v v))))) sinTheta_O (*.f32 #s(literal -48038761/100000000 binary32) (/.f32 sinTheta_i (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))) sinTheta_O (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))) |
(fma.f32 (*.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) sinTheta_O (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(fma.f32 (fma.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (fma.f32 (pow.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) (*.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (*.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32) (fma.f32 (pow.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1/6 binary32) (*.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (*.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))) (*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) (*.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (*.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 sinTheta_i sinTheta_i) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
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(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) |
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(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O (*.f32 #s(literal 2 binary32) sinTheta_i)) (*.f32 v v)) sinTheta_O (/.f32 #s(literal 1 binary32) (*.f32 v v))) |
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v)) sinTheta_O) |
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v) sinTheta_O) |
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
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(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_O 2))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) |
(fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 2307722558415121/20000000000000000 binary32) v (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v))) (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) (*.f32 sinTheta_O sinTheta_O)) #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 48038761/200000000 binary32) sinTheta_O) (*.f32 (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) sinTheta_i)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
(+ (* 1/2 (/ (+ (* -48038761/100000000 (/ (* v (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ v (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (pow sinTheta_O 2))) (+ (* 1/2 (/ (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 2) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 48038761/100000000 (/ (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (pow sinTheta_O 3))) (+ (/ 48038761/200000000 (* sinTheta_O (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) |
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(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O) |
(/.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) #s(literal -48038761/100000000 binary32) (*.f32 (/.f32 v sinTheta_i) #s(literal 48038761/100000000 binary32))) sinTheta_O) |
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O) |
(/.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 v sinTheta_i) (*.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))))) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) #s(literal -48038761/100000000 binary32))) sinTheta_O) |
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O) |
(/.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32)))) #s(literal -48038761/100000000 binary32) (*.f32 (/.f32 v sinTheta_i) #s(literal 48038761/100000000 binary32))) (fma.f32 (*.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32)))) #s(literal -48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) #s(literal 48038761/100000000 binary32)))) sinTheta_O) |
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) sinTheta_O) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O)))) |
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) sinTheta_O) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v)) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))) (fma.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_O)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) sinTheta_i) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O))) sinTheta_O) |
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) v) sinTheta_i))) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) #s(literal -1 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v)) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))) (fma.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_O)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) sinTheta_i) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)))) sinTheta_O) |
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2)))) |
(*.f32 (fma.f32 (/.f32 sinTheta_i (*.f32 (*.f32 v v) sinTheta_O)) #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (*.f32 sinTheta_O sinTheta_O)) |
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))) |
(*.f32 (fma.f32 (/.f32 sinTheta_i (*.f32 (*.f32 v v) sinTheta_O)) #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) (*.f32 sinTheta_O sinTheta_O)) |
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (/.f32 (neg.f32 sinTheta_i) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))) |
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v)))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (* -48038761/100000000 (/ v (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) sinTheta_O)) (* -48038761/100000000 (/ v (* sinTheta_i (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) sinTheta_O)) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 v sinTheta_i) #s(literal -48038761/100000000 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 v v))) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O))) sinTheta_O) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_i 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 3))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2))))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))) |
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(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 v sinTheta_i) #s(literal -48038761/100000000 binary32))) sinTheta_O)) |
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)) |
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)) |
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O))))) |
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O))))) |
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_O) #s(literal -1 binary32) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O))))) |
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O))))) |
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(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v v) sinTheta_O))) sinTheta_O) #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (*.f32 sinTheta_O sinTheta_O)) |
(* (exp (* -1 (+ (log 2) (log v)))) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) |
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))))) |
(exp (* -1 (+ (log 2) (log v)))) |
(exp.f32 (neg.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))))) |
(+ (log 2) (log v)) |
(+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) |
(* 2 v) |
(*.f32 #s(literal 2 binary32) v) |
v |
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) |
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6931/10000 |
#s(literal 6931/10000 binary32) |
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(* -1 (log (/ 1 v))) |
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(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) |
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(neg.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 26931/13862 binary32)) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32))))) v) #s(literal 1/2 binary32) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(neg.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 169310000/48038761 binary32) (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/6 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal 169310000/48038761 binary32))) v) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 26931/13862 binary32)) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) v))) v))) v)) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 26931/13862 binary32)) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32))))) v))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 169310000/48038761 binary32) (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/6 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal 169310000/48038761 binary32))) v) #s(literal -1 binary32) (fma.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 26931/13862 binary32)) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)))))) v))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 26931/13862 binary32)) v)))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 26931/13862 binary32)) (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 169310000/48038761 binary32) (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/6 binary32))) v)))) v))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) v) #s(literal -10000/6931 binary32)) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32)) |
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) v) #s(literal -100000000/48038761 binary32) (*.f32 #s(literal 10000/6931 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)))) v)) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32)) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) |
(+.f32 (fma.f32 #s(literal 10000/6931 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) (neg.f32 (/.f32 (fma.f32 #s(literal 100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1346550000000/332956652491 binary32)) v))) (pow.f32 v #s(literal 3 binary32))))) #s(literal 1 binary32)) |
(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
(/.f32 (fma.f32 #s(literal 10000/6931 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) v) #s(literal -1000000000000/332956652491 binary32) (*.f32 #s(literal 100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)))) v))) (*.f32 v v)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)) |
(/.f32 (fma.f32 #s(literal 10000/6931 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 5 binary32)) v) #s(literal -10000000000000000/2307722558415121 binary32) (*.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)))) v) #s(literal -1 binary32) (*.f32 #s(literal 100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)))) v))) (*.f32 v v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 742 |
| 0 | 105 | 649 |
| 1 | 409 | 596 |
| 2 | 3220 | 596 |
| 0 | 9455 | 570 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log.f32 (*.f32 #s(literal 2 binary32) v)) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
v |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) |
#s(literal 6931/10000 binary32) |
(/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) |
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v))) |
#s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)) |
(/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v) |
#s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
(/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) |
#s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) |
(neg.f32 v) |
(*.f32 v v) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) |
(exp.f32 (log.f32 v)) |
(log.f32 v) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
#s(literal 48038761/100000000 binary32) |
(+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
(pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) |
| Outputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (log.f32 v) (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) v)) |
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)) |
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#s(literal 1/2 binary32) |
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(+.f32 (cosh.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
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(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)) |
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32)))) v) |
(/.f32 (exp.f32 (log.f32 #s(literal -1/2 binary32))) (exp.f32 (log.f32 (neg.f32 v)))) |
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(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
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(/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) |
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(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(-.f32 (cosh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))) |
(pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 #s(literal 2 binary32) v)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32))) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32)) #s(literal 2 binary32))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32)))) |
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(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(fabs.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(+.f32 (cosh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32))))) |
(exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32))))) |
(exp.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -2 binary32))))) |
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
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(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 v))) (sqrt.f32 (neg.f32 (neg.f32 v)))) |
(*.f32 (sqrt.f32 (neg.f32 v)) (sqrt.f32 (neg.f32 v))) |
(*.f32 (sqrt.f32 v) (sqrt.f32 v)) |
(sqrt.f32 (*.f32 v v)) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) v))) |
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(pow.f32 (*.f32 v v) #s(literal 1/2 binary32)) |
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(pow.f32 v #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 v))) |
(fabs.f32 (neg.f32 v)) |
(fabs.f32 v) |
(+.f32 (sinh.f32 (log.f32 v)) (cosh.f32 (log.f32 v))) |
(+.f32 (cosh.f32 (log.f32 v)) (sinh.f32 (log.f32 v))) |
(exp.f32 (/.f32 (log.f32 (*.f32 v v)) #s(literal 2 binary32))) |
(exp.f32 (/.f32 (*.f32 (log.f32 v) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 v) #s(literal 1 binary32))) |
(exp.f32 (log.f32 v)) |
v |
(log.f32 v) |
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log.f32 v)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (log.f32 v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (log.f32 v)) (sinh.f32 (log.f32 v))))))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 v))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) |
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(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (neg.f32 (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(-.f32 (cosh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (sinh.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(-.f32 (cosh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (sinh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (neg.f32 (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(pow.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
(pow.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (-.f32 (+.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(pow.f32 (exp.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (/.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(+.f32 (sinh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (cosh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(+.f32 (cosh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (sinh.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(*.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
(*.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32))) (-.f32 (+.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (neg.f32 (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
(neg.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) |
(neg.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (neg.f32 (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(*.f32 (neg.f32 (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (neg.f32 (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(*.f32 (pow.f32 (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) v) (/.f32 (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) v)) |
(*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) (neg.f32 v)) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) (neg.f32 v))) |
(*.f32 (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) |
(*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (neg.f32 v)) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)))) (neg.f32 v)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)))) (*.f32 v v)) |
(/.f32 (neg.f32 (*.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))))) (*.f32 v v)) |
(/.f32 (neg.f32 (pow.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (neg.f32 v) v)) |
(/.f32 (*.f32 (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (neg.f32 v)) |
(/.f32 (*.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) v) |
(/.f32 (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)))) (neg.f32 v)) |
(/.f32 (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) v) |
(/.f32 (*.f32 (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) (*.f32 (neg.f32 v) v)) |
(/.f32 (*.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) (neg.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)))) (*.f32 (neg.f32 v) v)) |
(/.f32 (pow.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) |
(pow.f32 (neg.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) |
(fabs.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))))) |
(exp.f32 (+.f32 (log.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)))) |
Compiled 103 381 to 7 345 computations (92.9% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 343 | 13 | 1 356 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 348 | 19 | 1 367 |
| Status | Accuracy | Program |
|---|---|---|
| 90.8% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 88.0% | (/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (*.f32 (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.0% | (/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) | |
| 99.7% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) | |
| ✓ | 98.1% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
| 99.0% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) | |
| 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) | |
| 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (+.f32 (sinh.f32 #s(literal -1 binary32)) (cosh.f32 #s(literal -1 binary32))) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) | |
| 51.7% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 (exp.f32 (/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) | |
| 51.7% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (pow.f32 (exp.f32 (/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) | |
| ✓ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
| 99.0% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (sinh.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) | |
| 51.7% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) | |
| 99.0% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (exp.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (/.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) | |
| 99.0% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) v) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) | |
| ✓ | 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
| 99.3% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))) | |
| 99.0% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)))) |
Compiled 3 319 to 1 065 computations (67.9% saved)
| Inputs |
|---|
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (*.f32 v v))))) |
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))) (exp (/ (pow (/ (+ (* sinTheta_O sinTheta_i) 1) v) 2) (+ (/ (+ (* sinTheta_O sinTheta_i) 1) v) 6931/10000))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)))) |
(exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) sinTheta_i) (*.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32))) v) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_i sinTheta_O) v)) (*.f32 (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (exp.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v)) (/.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (+.f32 (sinh.f32 #s(literal -1 binary32)) (cosh.f32 #s(literal -1 binary32))) (log.f32 (*.f32 #s(literal 2 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(exp.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (log.f32 v))) (pow.f32 (exp.f32 (/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 (exp.f32 (/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (-.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))))) |
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal 6931/10000 binary32) v)))))) |
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (sinh.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))))) (exp.f32 (/.f32 (pow.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) |
9 calls:
| 41.0ms | v |
| 34.0ms | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 10.0ms | sinTheta_O |
| 10.0ms | sinTheta_i |
| 10.0ms | cosTheta_O |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.f32 sinTheta_i sinTheta_O) |
| 99.7% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 99.7% | 1 | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 99.7% | 1 | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 99.7% | 1 | cosTheta_i |
| 99.7% | 1 | cosTheta_O |
| 99.7% | 1 | sinTheta_i |
| 99.7% | 1 | sinTheta_O |
| 99.7% | 1 | v |
Compiled 60 to 78 computations (-30% saved)
| Inputs |
|---|
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
| Outputs |
|---|
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
9 calls:
| 30.0ms | v |
| 8.0ms | (*.f32 cosTheta_i cosTheta_O) |
| 4.0ms | cosTheta_i |
| 4.0ms | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 4.0ms | sinTheta_O |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.f32 sinTheta_i sinTheta_O) |
| 99.7% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 99.7% | 1 | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 99.7% | 1 | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 99.7% | 1 | cosTheta_i |
| 99.7% | 1 | cosTheta_O |
| 99.7% | 1 | sinTheta_i |
| 99.7% | 1 | sinTheta_O |
| 99.7% | 1 | v |
Compiled 60 to 78 computations (-30% saved)
| Inputs |
|---|
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) |
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| Outputs |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
9 calls:
| 11.0ms | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 3.0ms | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 3.0ms | cosTheta_i |
| 3.0ms | cosTheta_O |
| 3.0ms | sinTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (*.f32 sinTheta_i sinTheta_O) |
| 99.3% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 99.3% | 1 | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 99.3% | 1 | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 99.3% | 1 | cosTheta_i |
| 99.3% | 1 | cosTheta_O |
| 99.3% | 1 | sinTheta_i |
| 99.3% | 1 | sinTheta_O |
| 99.3% | 1 | v |
Compiled 60 to 78 computations (-30% saved)
Total -29.9b remaining (-5034%)
Threshold costs -29.9b (-5034%)
| Inputs |
|---|
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(exp.f32 #s(approx (+ (+ (/ (- (* v (* cosTheta_O cosTheta_i)) (* v (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) |
| Outputs |
|---|
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
9 calls:
| 36.0ms | (*.f32 cosTheta_i cosTheta_O) |
| 2.0ms | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 2.0ms | v |
| 2.0ms | sinTheta_i |
| 2.0ms | sinTheta_O |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (*.f32 sinTheta_i sinTheta_O) |
| 98.1% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 98.1% | 1 | (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
| 98.1% | 1 | (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
| 98.1% | 1 | cosTheta_i |
| 98.1% | 1 | cosTheta_O |
| 98.1% | 1 | sinTheta_i |
| 98.1% | 1 | sinTheta_O |
| 98.1% | 1 | v |
Compiled 60 to 78 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 185 |
| 1 | 111 | 177 |
| 2 | 210 | 177 |
| 3 | 451 | 175 |
| 4 | 1542 | 171 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (- (* (* cosTheta_i cosTheta_O) v) v) (neg.f32 v)) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(literal 1 binary32)) v))))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/.f32 #s(approx (- (* cosTheta_i cosTheta_O) 1) #s(literal -1 binary32)) v)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 742 |
| 0 | 105 | 649 |
| 1 | 409 | 596 |
| 2 | 3220 | 596 |
| 0 | 9455 | 570 |
| 0 | 1108 | 7223 |
| 1 | 3983 | 6817 |
| 0 | 9092 | 6478 |
| 0 | 385 | 2219 |
| 1 | 1305 | 2121 |
| 2 | 5550 | 1960 |
| 0 | 8217 | 1866 |
| 0 | 936 | 6266 |
| 1 | 3322 | 5934 |
| 0 | 8760 | 5655 |
| 0 | 60 | 458 |
| 0 | 95 | 420 |
| 1 | 429 | 387 |
| 2 | 3762 | 387 |
| 0 | 8141 | 387 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 501 to 336 computations (32.9% saved)
(sort sinTheta_i sinTheta_O)
(sort cosTheta_i cosTheta_O)
Compiled 628 to 318 computations (49.4% saved)
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