
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)
| 2.1s | 8 256× | 0 | valid |
| 27.0ms | 147× | 0 | invalid |
const: 389.0ms (22.3% of total)ival-exp: 324.0ms (18.6% of total)ival-div: 272.0ms (15.6% of total)ival-<=: 213.0ms (12.2% of total)ival-mult: 194.0ms (11.1% of total)ival-sub: 108.0ms (6.2% of total)ival-log: 91.0ms (5.2% of total)ival-add: 79.0ms (4.5% of total)ival-and: 55.0ms (3.2% of total)exact: 15.0ms (0.9% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 97 | 2 | (1.2662808579477769e-9 8.703812844459977e-38 -2.1538942982462344e-23 1.0476363756911304e-38 0.04215804487466812) | 29 | (-2.089273565699544e-20 -4.216848824934561e-21 -2.3620148059677604e-9 -2.562328960120652e-10 2.04721792170282e-31) | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 88 | 4 | (2.8050653584195847e-19 -9.516546187811093e-17 -9.451541781388e-38 -4.091710442304514e-35 2.1227068290371463e-27) | 27 | (-1.9931262995853195e-24 -7.144674830216919e-19 -3.7224563698146085e-7 -1.219277192664915e-37 6.864515126197484e-22) | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| 1 | 0 | - | 0 | - | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
| 1 | 2 | (0.2773134410381317 1.797626847326644e-21 -2.138899193001983e-31 1.8734623741726788e-26 0.0022786015179008245) | 1 | (-5.176556624454339e-16 -8.447891688050547e-37 -8.07188583589907e-17 4.923670291227152e-23 0.013498938642442226) | (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))))) |
| 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 | - | (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
| 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 (*.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 sinTheta_i sinTheta_O) v) | u/n | 11 | 0 |
| ↳ | (*.f32 sinTheta_i sinTheta_O) | underflow | 83 | |
/.f32 | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) | u/n | 10 | 0 |
| ↳ | (*.f32 cosTheta_i cosTheta_O) | underflow | 93 | |
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 | 2 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 2 |
| - | 23 | 231 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 1 |
| - | 23 | 1 | 230 |
| number | freq |
|---|---|
| 0 | 233 |
| 1 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 512× | 0 | valid |
Compiled 295 to 67 computations (77.3% saved)
ival-mult: 21.0ms (34.5% of total)ival-div: 13.0ms (21.4% of total)const: 8.0ms (13.2% of total)ival-log: 5.0ms (8.2% of total)ival-exp: 4.0ms (6.6% of total)ival-add: 4.0ms (6.6% of total)ival-sub: 4.0ms (6.6% of total)ival-true: 1.0ms (1.6% of total)exact: 1.0ms (1.6% 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 |
|---|---|---|
| ▶ | 99.8% | (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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 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))))) | |
| cost-diff | 2 | (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) | |
| cost-diff | 2 | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) | |
| cost-diff | 2 | (+.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 133 |
| 0 | 34 | 125 |
| 1 | 64 | 116 |
| 2 | 130 | 116 |
| 3 | 346 | 115 |
| 4 | 1416 | 111 |
| 0 | 8303 | 104 |
| 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 |
|---|
(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)))) |
(+.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.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))) |
(+.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 #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)) |
(-.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_O cosTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) |
(/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(*.f32 cosTheta_i cosTheta_O) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_i |
cosTheta_O |
v |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(*.f32 sinTheta_i sinTheta_O) |
(*.f32 sinTheta_O sinTheta_i) |
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))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
(*.f32 #s(literal 2 binary32) v) |
#s(literal 2 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06400095360251203 | (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))))) | |
| accuracy | 0.1101931772094881 | (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) | |
| accuracy | 7.499930662448623 | (/.f32 (*.f32 sinTheta_i sinTheta_O) v) | |
| accuracy | 8.5969215055816 | (/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
| 42.0ms | 256× | 0 | valid |
Compiled 135 to 23 computations (83% saved)
ival-div: 9.0ms (29.4% of total)const: 8.0ms (26.1% of total)ival-mult: 5.0ms (16.3% of total)ival-log: 3.0ms (9.8% of total)ival-exp: 2.0ms (6.5% of total)ival-add: 2.0ms (6.5% of total)ival-sub: 2.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.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 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.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))))) |
(/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| Outputs |
|---|
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* 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)) |
(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)))) |
(/ (* cosTheta_O 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 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* -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)) (/ (* 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* -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)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O 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)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) 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)))))))) |
(/ (* sinTheta_O sinTheta_i) 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)) (/ 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) (* 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 (- (+ (* 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)) (/ 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) (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 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) |
(/ 1/2 v) |
6931/10000 |
(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 (* -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)) |
(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))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | cosTheta_i | @ | inf | ((+ (- (- (/ (* 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 (* 2 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)) |
| 3.0ms | v | @ | 0 | ((+ (- (- (/ (* 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 (* 2 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)) |
| 3.0ms | sinTheta_O | @ | 0 | ((+ (- (- (/ (* 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 (* 2 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)) |
| 2.0ms | cosTheta_i | @ | 0 | ((+ (- (- (/ (* 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 (* 2 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)) |
| 2.0ms | v | @ | -inf | ((+ (- (- (/ (* 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 (* 2 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 1614 |
| 1 | 990 | 1573 |
| 2 | 4250 | 1447 |
| 0 | 8219 | 1368 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* 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)) |
(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)))) |
(/ (* cosTheta_O 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 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(* -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)) (/ (* 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(* -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)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O 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)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) 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)))))))) |
(/ (* sinTheta_O sinTheta_i) 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)) (/ 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) (* 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 (- (+ (* 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)) (/ 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) (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 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) |
(/ 1/2 v) |
6931/10000 |
(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 (* -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)) |
(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))) |
| Outputs |
|---|
(- 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 (/ (* sinTheta_O sinTheta_i) v)) |
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(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)) |
(/ (* cosTheta_O cosTheta_i) v) |
(*.f32 (/.f32 cosTheta_i v) cosTheta_O) |
(* 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 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_i) cosTheta_O) v) 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))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))) |
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) cosTheta_i)) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O 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 (- (+ (* 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 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_O) cosTheta_i) v) cosTheta_O) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))) |
(fma.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) cosTheta_O (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_O) cosTheta_i) v) cosTheta_O) |
(- (+ 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)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 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) #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 (*.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) #s(literal 1 binary32)) v))) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (*.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) #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 (*.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) #s(literal 1 binary32)) v)))) sinTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (*.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) #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 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.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) #s(literal 1 binary32)) v))) (*.f32 v v)) (*.f32 (*.f32 (*.f32 (*.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) #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 (*.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) #s(literal 1 binary32)) v))) (/.f32 sinTheta_O v))) sinTheta_i (*.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) #s(literal 1 binary32)) v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(* 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)) (/ sinTheta_O v))) |
(*.f32 (-.f32 (*.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v)) (/.f32 sinTheta_O v)) sinTheta_i) |
(* -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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (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 (*.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) #s(literal 1 binary32)) v)))) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (*.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) #s(literal 1 binary32)) v)))) v)) v) sinTheta_O (*.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) #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 (fma.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (*.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) #s(literal 1 binary32)) v))) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) (*.f32 (*.f32 (*.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) #s(literal 1 binary32)) v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32))) sinTheta_O) (*.f32 (*.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) #s(literal 1 binary32)) v))) (/.f32 sinTheta_i v))) sinTheta_O (*.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) #s(literal 1 binary32)) v)))) |
(* 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)) (/ sinTheta_i v))) |
(*.f32 (-.f32 (*.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v)) (/.f32 sinTheta_i v)) sinTheta_O) |
(* -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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (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) |
(/ (- (+ (* 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) |
(/ 1/2 v) |
(/.f32 #s(literal 1/2 binary32) v) |
6931/10000 |
#s(literal 6931/10000 binary32) |
(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))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(fma.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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))))) (+ (* 1/2 (/ (* (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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v) (/.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) (/.f32 #s(literal 1 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) (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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v) (/.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) (/.f32 #s(literal 1 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) v)) 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 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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 (*.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) (*.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) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_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))) |
(-.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (*.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) (*.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) (*.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)))) v)) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 68 |
| 0 | 34 | 58 |
| 1 | 137 | 53 |
| 2 | 1213 | 53 |
| 0 | 8896 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) |
(/.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))))) |
(/.f32 (*.f32 cosTheta_i cosTheta_O) v) |
(/.f32 (*.f32 sinTheta_i sinTheta_O) v) |
| Outputs |
|---|
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (neg.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)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) |
(/.f32 (neg.f32 (neg.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)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 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))))) (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))))) |
(/.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)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) v) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 v (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 v (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (neg.f32 (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 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 (neg.f32 (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 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 (neg.f32 (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 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (neg.f32 (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 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) |
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(/.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 (+.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 (/.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 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (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))))) (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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (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 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.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))))) |
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) |
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (exp.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))) (/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) |
(/.f32 (+.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 3 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 2 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 2 binary32)) (*.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #s(literal 2 binary32) (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 (fma.f32 #s(literal 2 binary32) (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #s(literal 2 binary32) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 (neg.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 3 binary32)))) (neg.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (exp.f32 (+.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 0 binary32))) (*.f32 #s(literal 2 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)))))) |
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (-.f32 (/.f32 (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)))))) |
(/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (exp.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))) (/.f32 #s(literal 1/2 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (exp.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))) (/.f32 #s(literal 1/2 binary32) v)))) (/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (exp.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))) (/.f32 #s(literal 1/2 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))) (/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))))) |
(+.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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 (/.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))) |
Compiled 10 512 to 1 472 computations (86% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 226 | 9 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 227 | 9 | 236 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.2% | (/.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))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
| 41.6% | (/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))) | |
| 53.3% | (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (*.f32 v v) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| 99.0% | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| ▶ | 99.8% | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (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))))) |
| 99.4% | #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))))) | |
| ▶ | 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 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) #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)) (/.f32 #s(literal 1 binary32) v))) |
Compiled 610 to 488 computations (20% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 (/.f32 #s(literal 1/2 binary32) v)) | |
| cost-diff | 0 | (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) | |
| cost-diff | 1 | (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))) | |
| cost-diff | 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))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1/2 binary32) v) | |
| cost-diff | 0 | (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) | |
| cost-diff | 0 | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 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) #s(literal 1 binary32)) v)))) | |
| cost-diff | 1 | (*.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) #s(literal 1 binary32)) v))) | |
| cost-diff | 0 | #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 1 | (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))))) | |
| cost-diff | 2 | (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) | |
| cost-diff | 0 | (exp.f32 #s(literal 6931/10000 binary32)) | |
| cost-diff | 0 | (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) | |
| cost-diff | 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 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) | |
| cost-diff | 2 | (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) | |
| cost-diff | 0 | #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) | |
| cost-diff | 0 | (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) | |
| cost-diff | 1 | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| cost-diff | 2 | (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 555 |
| 0 | 90 | 520 |
| 1 | 178 | 506 |
| 2 | 402 | 506 |
| 3 | 1465 | 506 |
| 0 | 8446 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.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) |
(-.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)) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 binary32) |
v |
#s(literal 6931/10000 binary32) |
sinTheta_i |
(/.f32 sinTheta_O v) |
sinTheta_O |
(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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) |
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) v) |
#s(literal 1 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))))) |
(+.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)))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 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)) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) v) |
#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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) 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) #s(literal 1 binary32)) v))) |
(*.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) |
v |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 binary32) |
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 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 cosTheta_O cosTheta_i) |
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)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
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 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
(*.f32 sinTheta_O sinTheta_i) |
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) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
| Outputs |
|---|
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(*.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) (/.f32 #s(literal 1/2 binary32) v)) |
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.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) |
(-.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)) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 binary32) |
v |
#s(literal 6931/10000 binary32) |
sinTheta_i |
(/.f32 sinTheta_O v) |
sinTheta_O |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 1/2 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) v) |
#s(literal 1 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))))) |
(*.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(+.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)))) |
(+.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 1/2 binary32) v))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 binary32) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) v) |
#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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_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 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) 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) #s(literal 1 binary32)) v))) |
(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 binary32) |
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 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 cosTheta_O cosTheta_i) |
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)))) |
(*.f32 (exp.f32 (-.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)) |
(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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal 1/2 binary32) 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 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
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 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
(*.f32 sinTheta_O sinTheta_i) |
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) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06606999165040034 | (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) | |
| accuracy | 1.581888020550545 | (/.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)))) | |
| accuracy | 2.2793624348179966 | (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))) | |
| accuracy | 3.5249816137566974 | (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) | |
| accuracy | 0.00390625 | (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) | |
| accuracy | 0.01171875 | (*.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) #s(literal 1 binary32)) v))) | |
| accuracy | 0.07919223753849351 | (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) | |
| accuracy | 0.34375 | (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) | |
| accuracy | 0.015625 | (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) | |
| accuracy | 0.05859375 | (+.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)))) | |
| accuracy | 0.06400095360251203 | (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))))) | |
| accuracy | 29.59880456281159 | #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.0 | (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) | |
| accuracy | 0.0 | (exp.f32 #s(literal 6931/10000 binary32)) | |
| accuracy | 0.34375 | (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) | |
| accuracy | 28.84815936992465 | #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)) (/.f32 #s(literal 1 binary32) v))) | |
| accuracy | 0.0625 | (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.06400095360251203 | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| accuracy | 0.09765625 | (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) | |
| accuracy | 13.663556953463644 | (*.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) |
| 84.0ms | 242× | 0 | valid |
| 8.0ms | 14× | 0 | exit |
Compiled 472 to 48 computations (89.8% saved)
ival-div: 19.0ms (27.8% of total)ival-mult: 18.0ms (26.3% of total)ival-exp: 10.0ms (14.6% of total)ival-sub: 7.0ms (10.2% of total)ival-log: 5.0ms (7.3% of total)ival-add: 4.0ms (5.9% of total)const: 4.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 #s(literal 6931/10000 binary32)) |
(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))))) |
(+.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)))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) |
(*.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) #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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 #s(literal 1/2 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))) (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)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) 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) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 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))) |
| 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))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(/ (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)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(+ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (/ (* cosTheta_O cosTheta_i) v)) |
(/ (- 6931/10000 (/ 1 v)) sinTheta_i) |
(- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(exp (/ -1 v)) |
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v)) |
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v)))) |
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v)))) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) 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)))) |
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))) |
(/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) |
(* cosTheta_i (- (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (/ cosTheta_O (* sinTheta_i v))) (/ 1 (* cosTheta_i (* sinTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))) |
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i 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 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* 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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(+ (* 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)))) |
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v)))) |
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 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 (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))) |
(* cosTheta_O (- (+ (/ 6931/10000 (* cosTheta_O sinTheta_i)) (/ cosTheta_i (* sinTheta_i v))) (/ 1 (* cosTheta_O (* sinTheta_i v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O 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 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* 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 (+ (* -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))) |
(/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 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 (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (/ 1 (* sinTheta_i v)))) |
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i 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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 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 (+ (* -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_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i 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)))) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 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 (+ (* -1 (/ sinTheta_i v)) (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O 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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ sinTheta_i v)))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))) |
(/ 1/2 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) |
(* 1/2 (/ (exp 6931/10000) 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) |
(+ (log 1/2) (* -1 (log v))) |
(/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v) |
(/ (+ (* 6931/10000 v) (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v)) |
(/ (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v) |
(exp (- (/ 1 v) 6931/10000)) |
(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 |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) 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))) |
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ 6931/10000 (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v)) |
(/ 6931/10000 sinTheta_i) |
1 |
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 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)))) |
(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 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (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 (/ (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))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ 6931/10000 (* -1 (/ (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) 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 | |
|---|---|---|---|---|
| 43.0ms | v | @ | -inf | ((/ 1 (* 2 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (exp 6931/10000) 1/2) (/ 1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (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) (/ (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)) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1 (* 2 v))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000))) |
| 42.0ms | cosTheta_i | @ | inf | ((/ 1 (* 2 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (exp 6931/10000) 1/2) (/ 1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (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) (/ (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)) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1 (* 2 v))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000))) |
| 37.0ms | v | @ | 0 | ((/ 1 (* 2 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (exp 6931/10000) 1/2) (/ 1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (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) (/ (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)) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1 (* 2 v))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000))) |
| 19.0ms | v | @ | inf | ((/ 1 (* 2 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (exp 6931/10000) 1/2) (/ 1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (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) (/ (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)) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1 (* 2 v))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000))) |
| 15.0ms | cosTheta_i | @ | 0 | ((/ 1 (* 2 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (exp 6931/10000) 1/2) (/ 1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 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)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (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) (/ (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)) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1 (* 2 v))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 994 | 6454 |
| 1 | 3527 | 6111 |
| 0 | 8389 | 5838 |
| 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))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(/ (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)) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(+ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (/ (* cosTheta_O cosTheta_i) v)) |
(/ (- 6931/10000 (/ 1 v)) sinTheta_i) |
(- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(exp (/ -1 v)) |
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v)) |
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v)))) |
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v)))) |
(/ -1 v) |
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) 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)))) |
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))) |
(/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) |
(* cosTheta_i (- (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (/ cosTheta_O (* sinTheta_i v))) (/ 1 (* cosTheta_i (* sinTheta_i v))))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))) |
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) |
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i 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 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* 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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(+ (* 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)))) |
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v)))) |
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 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 (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) |
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))) |
(* cosTheta_O (- (+ (/ 6931/10000 (* cosTheta_O sinTheta_i)) (/ cosTheta_i (* sinTheta_i v))) (/ 1 (* cosTheta_O (* sinTheta_i v))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O 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 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* 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))) |
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(- (+ 6931/10000 (+ (* -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))) |
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(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) |
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(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) |
(/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 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 (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))) |
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (/ 1 (* sinTheta_i v)))) |
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i 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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))) |
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(+ (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_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
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(* 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 (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O 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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ sinTheta_i v)))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))) |
(/ 1/2 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) |
(* 1/2 (/ (exp 6931/10000) 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) |
(+ (log 1/2) (* -1 (log v))) |
(/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v) |
(/ (+ (* 6931/10000 v) (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v)) |
(/ (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v) |
(exp (- (/ 1 v) 6931/10000)) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
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(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
6931/10000 |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v) |
(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) |
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(- (+ (* 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))) |
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ 6931/10000 (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v)) |
(/ 6931/10000 sinTheta_i) |
1 |
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 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)))) |
(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 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (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 (/ (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))) |
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v)) |
(+ 6931/10000 (* -1 (/ (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) 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 (+ (/ 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 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) cosTheta_O) v) (*.f32 (fma.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i)) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 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 (/.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))) |
(* 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_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (/ (* cosTheta_O cosTheta_i) v)) |
(fma.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) |
(/ (- 6931/10000 (/ 1 v)) sinTheta_i) |
(/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) |
(- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))) |
(+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v)) |
(- 6931/10000 (/ 1 v)) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(exp (/ -1 v)) |
(exp.f32 (/.f32 #s(literal -1 binary32) v)) |
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) |
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (*.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v))) |
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) cosTheta_i (exp.f32 (/.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 (/ (* 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 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) 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 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i v))) cosTheta_i) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(/ (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) |
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))) |
(*.f32 (fma.f32 sinTheta_i (/.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i) |
(/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) |
(*.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v)) |
(* cosTheta_i (- (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (/ cosTheta_O (* sinTheta_i v))) (/ 1 (* cosTheta_i (* sinTheta_i v))))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (*.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) sinTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i cosTheta_i) v))) cosTheta_i) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i) |
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) |
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(* 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 (+ (* -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) |
(* -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 (+ (/ 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_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -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)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (fma.f32 sinTheta_i (/.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) cosTheta_i) (/.f32 cosTheta_O (*.f32 sinTheta_i v))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (*.f32 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)))) |
(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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) cosTheta_i) v) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O)) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (* 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)))) |
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v))) |
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))) 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 (+ (/ cosTheta_i v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))) |
(*.f32 (fma.f32 sinTheta_i (/.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O) |
(* cosTheta_O (- (+ (/ 6931/10000 (* cosTheta_O sinTheta_i)) (/ cosTheta_i (* sinTheta_i v))) (/ 1 (* cosTheta_O (* sinTheta_i v))))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i (*.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i cosTheta_O) v))) cosTheta_O) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) 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 (+ (* -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) |
(* -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 (+ (/ 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_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -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)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (fma.f32 sinTheta_i (/.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) cosTheta_O) (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))) |
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)) 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)))))) |
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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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(- (+ 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))) |
(- (+ 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)) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(-.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) 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)))) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) 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 (*.f32 sinTheta_O sinTheta_O) 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_i (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))))) (* 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)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_O 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_i (*.f32 (/.f32 (neg.f32 sinTheta_O) 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_i (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))) |
(*.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))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v))) |
(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)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) 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_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))) |
(+ (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)))))))) |
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(+ (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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(/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i) |
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) 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 (- (+ (* 6931/10000 (/ 1 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))) |
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (/ 1 (* sinTheta_i v)))) |
(*.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) 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) |
(* -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 (/ (- (+ 6931/10000 (/ (* 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))))) |
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
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(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))) |
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(+ (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)))))))) |
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(+ (* 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)))) |
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(+ (* 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)))) |
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(+ (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)))))) |
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(+ (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)))))))) |
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
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(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))) |
(fma.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v)) sinTheta_i (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) v)) sinTheta_O) |
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))) |
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(* 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)) (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O))) |
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(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) |
(*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) 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))))) |
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
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(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ sinTheta_i v)))) |
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(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))) |
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(/ 1/2 v) |
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(/.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 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
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(* 1/2 (/ (exp 6931/10000) v)) |
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(exp (- (/ 1 v) 6931/10000)) |
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
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(+ (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)) |
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(+ (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))) |
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#s(literal 6931/10000 binary32) |
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(/ 6931/10000 sinTheta_i) |
(/.f32 #s(literal 6931/10000 binary32) sinTheta_i) |
1 |
#s(literal 1 binary32) |
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(+ (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))) v) #s(literal -1/2 binary32) (*.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))) v) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))) (pow.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))) (neg.f32 v))) (neg.f32 v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 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 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))) |
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))) |
(fma.f32 (/.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32)) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (neg.f32 v))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (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 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)) |
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32))))) v) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) (fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32))))) v))) (/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (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 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) (fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32))))) #s(literal -1 binary32) (fma.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))))) (neg.f32 v))) (fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32))))) v))) (/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32)))) |
(exp (+ (log -1/2) (log (/ -1 v)))) |
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) |
(+ (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 -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) 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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (-.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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v) (/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (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))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32))) |
(- (+ (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)) |
(+ 6931/10000 (* -1 (/ (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))) v))) |
(fma.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) sinTheta_O)) v) #s(literal 6931/10000 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) v) #s(literal -1/2 binary32) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v))) |
(fma.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v) #s(literal -1 binary32) #s(literal 1 binary32)) |
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v))) |
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (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 | 58 | 438 |
| 0 | 90 | 407 |
| 1 | 371 | 375 |
| 2 | 2888 | 375 |
| 0 | 8877 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 #s(literal 6931/10000 binary32)) |
(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))))) |
(+.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)))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)) |
(*.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) #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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) |
(/.f32 #s(literal 1/2 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))) (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)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) 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) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) |
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 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))) |
| Outputs |
|---|
(*.f32 (neg.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)))) |
(*.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)) |
(/.f32 (exp.f32 (log.f32 #s(literal -1/2 binary32))) (exp.f32 (log.f32 (neg.f32 v)))) |
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) v)))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 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 1/2 binary32) (neg.f32 (neg.f32 v))) |
(/.f32 #s(literal 1/2 binary32) v) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal -2 binary32) v))) |
(/.f32 #s(literal 1 binary32) (*.f32 v #s(literal 2 binary32))) |
(-.f32 (cosh.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))) |
(pow.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 v #s(literal 2 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #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 v #s(literal 2 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (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 -1/2 binary32) v)) |
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 v #s(literal 2 binary32)))) |
(*.f32 (exp.f32 (/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #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)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #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)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)))))) |
(*.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))))))) |
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 #s(literal 1/2 binary32)))) v) |
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)) (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) (/.f32 #s(literal 1/2 binary32) v))))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) (/.f32 #s(literal 1/2 binary32) v)))) |
(+.f32 (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(+.f32 (cosh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) (sinh.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
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(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 (neg.f32 (*.f32 v v)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v)) (*.f32 (neg.f32 v) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)))) (neg.f32 (*.f32 v v))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 (*.f32 (neg.f32 v) v))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (*.f32 v (*.f32 (neg.f32 sinTheta_i) sinTheta_O)))) (neg.f32 (*.f32 v (neg.f32 v)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (neg.f32 (neg.f32 v))) |
(/.f32 (-.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (neg.f32 (neg.f32 v))) |
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) v) v) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))) (neg.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) (neg.f32 (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) v))) |
(/.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (*.f32 v v))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) |
(/.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) (neg.f32 (*.f32 v v))) |
(/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v)) (*.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) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (neg.f32 v) v)) |
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (*.f32 v (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (*.f32 v (neg.f32 v))) |
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v)) |
(/.f32 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) |
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) |
(/.f32 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) v)) |
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) |
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.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 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (pow.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) #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 v) cosTheta_i) #s(literal 3 binary32)) (fma.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) #s(literal 3 binary32)) (fma.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32))))) |
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) v) (*.f32 v v))) |
(-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) |
(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 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) |
(+.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)) |
(neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))) |
(/.f32 (neg.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)))) (neg.f32 (+.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 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))))) |
(/.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) (neg.f32 (exp.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #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))) |
Compiled 34 032 to 3 522 computations (89.7% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 15 | 677 |
| Fresh | 2 | 2 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 669 | 17 | 686 |
| Status | Accuracy | Program |
|---|---|---|
| 85.8% | (/.f32 (exp.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.7% | (/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.f32 #s(literal 1/2 binary32)))) v) | |
| ▶ | 99.8% | (/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
| 90.0% | (/.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)))) | |
| 99.8% | (/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 42.0% | (/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))) | |
| ▶ | 99.7% | (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
| 99.8% | (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) | |
| 4.6% | (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) | |
| 99.3% | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| 97.1% | (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))) | |
| 14.0% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) | |
| 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) 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) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
| 99.4% | #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))))) | |
| ▶ | 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
| ▶ | 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
Compiled 1 316 to 998 computations (24.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 v) | |
| cost-diff | 0 | (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) | |
| cost-diff | 0 | (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) | |
| cost-diff | 1 | (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) | |
| cost-diff | 0 | (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) | |
| cost-diff | 0 | (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) | |
| cost-diff | 0 | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) | |
| cost-diff | 1 | (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) | |
| cost-diff | 0 | (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) | |
| cost-diff | 0 | (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) | |
| cost-diff | 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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) | |
| cost-diff | 0 | (exp.f32 #s(literal 6931/10000 binary32)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) | |
| cost-diff | 0 | (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) | |
| cost-diff | 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) (exp.f32 #s(literal 6931/10000 binary32))) v)) | |
| cost-diff | 0 | #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) | |
| cost-diff | 0 | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) | |
| cost-diff | 0 | (/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) | |
| cost-diff | 2 | (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 735 |
| 0 | 92 | 722 |
| 1 | 180 | 692 |
| 2 | 409 | 692 |
| 3 | 1491 | 692 |
| 0 | 9035 | 670 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) |
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32)) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.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) |
(-.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)) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 binary32) |
v |
#s(literal 6931/10000 binary32) |
sinTheta_i |
(/.f32 sinTheta_O v) |
sinTheta_O |
#s(literal 0 binary32) |
(*.f32 v #s(literal 2 binary32)) |
#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) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) |
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
#s(literal 1/2 binary32) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) |
(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) |
#s(literal -1 binary32) |
v |
#s(literal 6931/10000 binary32) |
#s(literal 1/2 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 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(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
#s(literal 1/2 binary32) |
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
(log.f32 v) |
v |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.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) |
(-.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)) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
sinTheta_i |
(/.f32 sinTheta_O v) |
sinTheta_O |
| Outputs |
|---|
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) |
(exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32)) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.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) |
(-.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)) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 binary32) |
v |
#s(literal 6931/10000 binary32) |
sinTheta_i |
(/.f32 sinTheta_O v) |
sinTheta_O |
#s(literal 0 binary32) |
(*.f32 v #s(literal 2 binary32)) |
(*.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) (exp.f32 #s(literal 6931/10000 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) |
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) |
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(exp.f32 #s(literal 6931/10000 binary32)) |
#s(literal 6931/10000 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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) |
(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) |
#s(literal -1 binary32) |
v |
#s(literal 6931/10000 binary32) |
#s(literal 1/2 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (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 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 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(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
#s(literal 1/2 binary32) |
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 v (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
(log.f32 v) |
v |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(*.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) |
(-.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)) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
sinTheta_i |
(/.f32 sinTheta_O v) |
sinTheta_O |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.08662392564434485 | (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) | |
| accuracy | 0.1015625 | (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) | |
| accuracy | 14.678447165778739 | (*.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) | |
| accuracy | 0.015625 | (log.f32 (/.f32 #s(literal 1/2 binary32) v)) | |
| accuracy | 0.05859375 | (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) | |
| accuracy | 0.0625 | (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.06400095360251203 | (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) | |
| accuracy | 0.0 | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) | |
| accuracy | 0.0078125 | (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) | |
| accuracy | 0.0625 | (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.06635650004715836 | (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) | |
| accuracy | 0.0 | (exp.f32 #s(literal 6931/10000 binary32)) | |
| accuracy | 0.359375 | (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) | |
| accuracy | 30.538123634780963 | #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 #s(literal 6931/10000 binary32))) v)) | |
| accuracy | 0.0625 | (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.06635650004715836 | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) | |
| accuracy | 0.1015625 | (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) | |
| accuracy | 14.678447165778739 | (*.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) |
| 111.0ms | 256× | 0 | valid |
Compiled 532 to 57 computations (89.3% saved)
ival-div: 35.0ms (39.7% of total)ival-exp: 14.0ms (15.9% of total)ival-mult: 13.0ms (14.8% of total)ival-log: 9.0ms (10.2% of total)ival-add: 6.0ms (6.8% of total)ival-sub: 5.0ms (5.7% of total)const: 4.0ms (4.5% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32)) |
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
#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 #s(literal 6931/10000 binary32))) v)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) |
(*.f32 #s(literal 1/2 binary32) (exp.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) |
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (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))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
(log.f32 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) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) 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)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
| Outputs |
|---|
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3)))))))) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2)))))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2)))))))) |
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) |
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) |
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(+ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (/ (* cosTheta_O cosTheta_i) v)) |
(/ (- 6931/10000 (/ 1 v)) sinTheta_i) |
(- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))) |
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) |
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) |
(* -1 (/ (* cosTheta_O cosTheta_i) v)) |
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)))) |
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))) |
(/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) |
(* cosTheta_i (- (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (/ cosTheta_O (* sinTheta_i v))) (/ 1 (* cosTheta_i (* sinTheta_i v))))) |
(* -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 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_i))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2)))))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2)))))))) |
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)))) |
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))) |
(* cosTheta_O (- (+ (/ 6931/10000 (* cosTheta_O sinTheta_i)) (/ cosTheta_i (* sinTheta_i v))) (/ 1 (* cosTheta_O (* sinTheta_i v))))) |
(* -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 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_O))))) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3)))))))) |
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2)))))))) |
(+ (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)))))))) |
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v)) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) |
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) |
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) |
(/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) |
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (/ 1 (* sinTheta_i v)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* 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)) (* 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)))))))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* 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_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ sinTheta_i v)))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(* 1/2 (/ (exp 6931/10000) v)) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(/ (exp (- 6931/10000 (/ 1 v))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v) |
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v) |
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log v) 6931/10000)))) (* cosTheta_O cosTheta_i)) v) |
(log v) |
(/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v) |
(/ (+ (* 6931/10000 v) (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v)) |
(/ (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)) v) |
(exp (- 6931/10000 (/ 1 v))) |
(/ -1 v) |
(/ (- (* 6931/10000 v) 1) v) |
(+ (log 1/2) (* -1 (log v))) |
6931/10000 |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v) |
(exp 6931/10000) |
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) 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)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(/ (exp 6931/10000) v) |
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) v) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(exp (- (* -1 (log (/ 1 v))) 6931/10000)) |
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)) |
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))) |
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))) |
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000))) |
(+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) |
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) |
(- (+ (* -1 (/ (+ (* -1 (* (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* -1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (pow v 3))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))))) |
(- (* -1 (log (/ 1 v))) 6931/10000) |
(- (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) |
(* -1 (log (/ 1 v))) |
(+ 6931/10000 (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v)) |
(/ 6931/10000 sinTheta_i) |
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) |
(+ (log 1/2) (log (/ 1 v))) |
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) 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))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) |
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v))) |
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2)) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))))) v))) |
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2)))) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))))) v))) |
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))) |
(+ (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(+ (* -1 (/ (- (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)) (+ (* -1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/12 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))))) (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000) |
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) v)))) 6931/10000) |
(+ (log -1) (* -1 (log (/ -1 v)))) |
(+ 6931/10000 (* -1 (/ (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v))) |
(+ (log -1/2) (log (/ -1 v))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | v | @ | -inf | ((+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0) (/ (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (* v 2)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* 1/2 (exp 6931/10000)) v) (* 1/2 (exp 6931/10000)) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)))) (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log v) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) |
| 25.0ms | v | @ | inf | ((+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0) (/ (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (* v 2)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* 1/2 (exp 6931/10000)) v) (* 1/2 (exp 6931/10000)) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)))) (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log v) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) |
| 25.0ms | v | @ | 0 | ((+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0) (/ (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (* v 2)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* 1/2 (exp 6931/10000)) v) (* 1/2 (exp 6931/10000)) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)))) (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log v) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) |
| 10.0ms | cosTheta_i | @ | inf | ((+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0) (/ (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (* v 2)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* 1/2 (exp 6931/10000)) v) (* 1/2 (exp 6931/10000)) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)))) (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log v) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) |
| 9.0ms | cosTheta_i | @ | 0 | ((+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0) (/ (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (* v 2)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) 0)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* 1/2 (exp 6931/10000)) v) (* 1/2 (exp 6931/10000)) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)))) (- (log v) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log v) (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1298 | 8403 |
| 1 | 4628 | 8253 |
| 0 | 9142 | 7785 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3)))))))) |
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2)))))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2)))))))) |
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) |
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) |
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) |
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(+ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (/ (* cosTheta_O cosTheta_i) v)) |
(/ (- 6931/10000 (/ 1 v)) sinTheta_i) |
(- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))) |
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) |
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))) |
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) |
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) |
(* -1 (/ (* cosTheta_O cosTheta_i) v)) |
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)))) |
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))) |
(/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) |
(* cosTheta_i (- (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (/ cosTheta_O (* sinTheta_i v))) (/ 1 (* cosTheta_i (* sinTheta_i v))))) |
(* -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 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i))))) |
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))))) |
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_i))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3)))))))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2)))))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2)))))))) |
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))) |
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)))) |
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))) |
(* cosTheta_O (- (+ (/ 6931/10000 (* cosTheta_O sinTheta_i)) (/ cosTheta_i (* sinTheta_i v))) (/ 1 (* cosTheta_O (* sinTheta_i v))))) |
(* -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 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O))))) |
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_O))))) |
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (- (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) cosTheta_O))))) |
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) |
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3)))))))) |
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2)))))))) |
(+ (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)))))))) |
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v)) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) |
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) |
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) |
(/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) |
(/ (* sinTheta_O sinTheta_i) v) |
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) |
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (/ 1 (* sinTheta_i v)))) |
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i))))) |
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v)))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3)))))) |
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3)))))))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2)))))) |
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* 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)) (* 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)))))))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v)))) |
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* 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_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O))) |
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O))))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ sinTheta_i v)))) |
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v) |
(* 1/2 (/ (exp 6931/10000) v)) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) |
(/ (exp (- 6931/10000 (/ 1 v))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v) |
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v) |
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log v) 6931/10000)))) (* cosTheta_O cosTheta_i)) v) |
(log v) |
(/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v) |
(/ (+ (* 6931/10000 v) (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v)) |
(/ (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)) v) |
(exp (- 6931/10000 (/ 1 v))) |
(/ -1 v) |
(/ (- (* 6931/10000 v) 1) v) |
(+ (log 1/2) (* -1 (log v))) |
6931/10000 |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v) |
(exp 6931/10000) |
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) 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)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
(/ (exp 6931/10000) v) |
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) v) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)))) |
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(exp (- (* -1 (log (/ 1 v))) 6931/10000)) |
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)) |
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))) |
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))) |
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000))) |
(+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) |
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) |
(- (+ (* -1 (/ (+ (* -1 (* (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* -1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (pow v 3))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))))) |
(- (* -1 (log (/ 1 v))) 6931/10000) |
(- (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) |
(* -1 (log (/ 1 v))) |
(+ 6931/10000 (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v)) |
(/ 6931/10000 sinTheta_i) |
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) |
(+ (log 1/2) (log (/ 1 v))) |
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v)) |
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) 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))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v))) |
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) |
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v)) |
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) |
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v))) |
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2)) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))))) v))) |
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2)))) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))))) v))) |
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))) |
(+ (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(+ (* -1 (/ (- (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)) (+ (* -1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/12 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))))) (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000) |
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) v)))) 6931/10000) |
(+ (log -1) (* -1 (log (/ -1 v)))) |
(+ 6931/10000 (* -1 (/ (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v))) |
(+ (log -1/2) (log (/ -1 v))) |
| Outputs |
|---|
(- 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 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) |
(* 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)) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 cosTheta_O v) (/.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) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.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))) |
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (*.f32 (*.f32 (/.f32 cosTheta_O v) (/.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))) cosTheta_i (*.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))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v)) |
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) v) (/.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) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) |
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) v) (/.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) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (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)))) |
(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) v) (/.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)) #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)))) |
(+ (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 (/.f32 (*.f32 cosTheta_O cosTheta_O) v) (/.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)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) 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)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) cosTheta_i))))) |
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(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))) |
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(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3)))))))) |
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(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
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(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)))) |
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(+ (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 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) v) (/.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)) #s(literal 1/2 binary32) (*.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))) cosTheta_O (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_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 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (/.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)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (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)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) 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))) cosTheta_O (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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) v) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) v))) cosTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (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))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) v))) cosTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) v) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 1/2 binary32) (*.f32 (neg.f32 cosTheta_i) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))) v))) cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))) |
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) cosTheta_O (*.f32 (neg.f32 cosTheta_i) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))) v))) cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))) |
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))))) cosTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))))) |
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (pow.f32 cosTheta_i #s(literal 3 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 cosTheta_i #s(literal 3 binary32)))) (*.f32 (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 cosTheta_i (/.f32 (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) v)))) (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32))) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)))))) cosTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))))) |
(* 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 (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)))) |
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) |
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32)) v) (*.f32 (/.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) #s(literal -1/6 binary32))) (*.f32 (neg.f32 (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))) #s(literal -1/4 binary32))) sinTheta_O (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 sinTheta_i v) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))))) sinTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))) |
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) |
(*.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v)) sinTheta_i) |
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))) |
(fma.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v)) sinTheta_i (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) |
(* 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 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) v)) sinTheta_O) |
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) |
(*.f32 (-.f32 (+.f32 (/.f32 (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) v) (/.f32 (log.f32 v) sinTheta_O)) (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O))) sinTheta_O) |
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O))) |
(*.f32 (fma.f32 sinTheta_i (/.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v)) sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O) |
(* -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_O cosTheta_i) #s(literal 1 binary32)) v)) (neg.f32 sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O))))) |
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))) sinTheta_O) (/.f32 sinTheta_i v)))) |
(* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ sinTheta_i v)))) |
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v)) sinTheta_O) (/.f32 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) |
(/ (- (+ (* 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) |
(* 1/2 (/ (exp 6931/10000) v)) |
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32)) |
(* 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)) |
(/ (exp (- 6931/10000 (/ 1 v))) v) |
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(/.f32 (-.f32 (fma.f32 (+.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v) |
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v) |
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v) |
(/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log v) 6931/10000)))) (* cosTheta_O cosTheta_i)) v) |
(/.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) v (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i)) v) |
(log v) |
(log.f32 v) |
(/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i)))) v) |
(*.f32 sinTheta_i (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i)) v)) |
(/ (+ (* 6931/10000 v) (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))) v) |
(/.f32 (fma.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i)) sinTheta_i (*.f32 #s(literal 6931/10000 binary32) v)) v) |
(/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v)) |
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) |
(/ (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)) v) |
(/.f32 (/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) sinTheta_i) v) |
(exp (- 6931/10000 (/ 1 v))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) |
(/ -1 v) |
(/.f32 #s(literal -1 binary32) v) |
(/ (- (* 6931/10000 v) 1) v) |
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v) |
(+ (log 1/2) (* -1 (log v))) |
(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) |
6931/10000 |
#s(literal 6931/10000 binary32) |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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) (exp.f32 #s(literal 6931/10000 binary32)))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v) |
(/.f32 (fma.f32 (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) v) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (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) (exp.f32 #s(literal 6931/10000 binary32))))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v) |
(/.f32 (fma.f32 (*.f32 (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))) #s(literal 1/12 binary32) (fma.f32 (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) v) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (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) (exp.f32 #s(literal 6931/10000 binary32)))))) v) |
(exp 6931/10000) |
(exp.f32 #s(literal 6931/10000 binary32)) |
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) |
(fma.f32 (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) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) |
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(exp.f32 (+.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) #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 (exp.f32 (+.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (exp.f32 (+.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) #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))) |
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(+ (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)))) |
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(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
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(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v) |
(/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 3 binary32))) #s(literal 1/12 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))))) v) |
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(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) v) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32))))) |
(+ (* -1 (/ (- (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) #s(literal 2 binary32)) v) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)))))) v) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)) (+ (* -1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/12 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))))) (+ (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) v) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) #s(literal 2 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) (neg.f32 v)))) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) #s(literal 2 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32))) v) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)))))) v) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32))))) |
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000) |
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)) |
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) v)))) 6931/10000) |
(-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) v)) (log.f32 #s(literal -1 binary32))) #s(literal 6931/10000 binary32)) |
(+ (log -1) (* -1 (log (/ -1 v)))) |
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -1 binary32))) |
(+ 6931/10000 (* -1 (/ (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))) v))) |
(fma.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) sinTheta_O)) v) #s(literal 6931/10000 binary32)) |
(+ (exp 6931/10000) (* -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) (exp.f32 #s(literal 6931/10000 binary32))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v))) |
(fma.f32 (/.f32 (fma.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) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) |
(+ (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 | 65 | 534 |
| 0 | 92 | 502 |
| 1 | 367 | 473 |
| 2 | 2830 | 473 |
| 0 | 8564 | 463 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32)) |
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) |
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
#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 #s(literal 6931/10000 binary32))) v)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) |
(*.f32 #s(literal 1/2 binary32) (exp.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) |
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (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))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) |
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
(log.f32 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) |
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) 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)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
| Outputs |
|---|
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)))) (neg.f32 (neg.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(/.f32 (neg.f32 (pow.f32 (neg.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) #s(literal 3 binary32))) (neg.f32 (neg.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 3 binary32)) #s(literal 0 binary32))) (neg.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 (-.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32))) (neg.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 (pow.f32 (neg.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) #s(literal 3 binary32)) (neg.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)))) |
(/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))) |
(/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 3 binary32)) (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32))) |
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(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (neg.f32 (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 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) |
(/.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 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v))))) |
(/.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 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v)))) |
(/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) v)))) |
(/.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 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32)))))))) |
(/.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 (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 #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 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32))))))) |
(/.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 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32))) |
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal -2 binary32) v))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 v)))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 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))) |
Compiled 39 742 to 3 451 computations (91.3% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 10 | 661 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 661 | 17 | 678 |
| Status | Accuracy | Program |
|---|---|---|
| 85.8% | (/.f32 (exp.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| ▶ | 90.0% | (/.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)))) |
| 99.8% | (/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 47.4% | (/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) (exp.f32 (/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))))) | |
| 4.6% | (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) | |
| 99.3% | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| ▶ | 14.0% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
| 99.7% | #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 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32)))) v)) | |
| 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) | |
| ▶ | 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
| 97.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) | |
| 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) v) #s(literal 1/2 binary32)))) | |
| ▶ | 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
| 98.0% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) | |
| 99.7% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 v))) #s(literal 1/2 binary32)))) | |
| ▶ | 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
Compiled 1 658 to 1 135 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 1 | (/.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)))) | |
| cost-diff | 0 | #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) | |
| cost-diff | 0 | (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) | |
| cost-diff | 0 | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) | |
| cost-diff | 1 | (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) | |
| cost-diff | 0 | (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) | |
| cost-diff | 0 | (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) | |
| cost-diff | 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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) | |
| cost-diff | 0 | (*.f32 cosTheta_O cosTheta_i) | |
| cost-diff | 0 | (/.f32 (*.f32 cosTheta_O cosTheta_i) v) | |
| cost-diff | 0 | #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) | |
| cost-diff | 0 | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) | |
| cost-diff | 0 | (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))) | |
| cost-diff | 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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) | |
| cost-diff | 2 | (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 606 |
| 0 | 101 | 587 |
| 1 | 196 | 578 |
| 2 | 440 | 562 |
| 3 | 1615 | 562 |
| 0 | 9086 | 552 |
| 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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)) |
(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) |
(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) |
#s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v) |
(-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) |
(*.f32 #s(literal 6931/10000 binary32) v) |
#s(literal 6931/10000 binary32) |
v |
#s(literal 1 binary32) |
#s(literal 1/2 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 cosTheta_O cosTheta_i) v))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(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) |
#s(literal -1 binary32) |
v |
#s(literal 6931/10000 binary32) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
#s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.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 6931/10000 binary32) |
(/.f32 #s(literal 1 binary32) v) |
#s(literal 1 binary32) |
v |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 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)))) |
(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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(*.f32 sinTheta_O sinTheta_i) |
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) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
| Outputs |
|---|
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) |
(*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) |
(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) |
(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v) |
(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) |
(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
#s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)) |
#s(approx (+ (/ -1 v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) |
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) |
(*.f32 #s(literal 6931/10000 binary32) v) |
#s(literal 6931/10000 binary32) |
v |
#s(literal 1 binary32) |
#s(literal 1/2 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 cosTheta_O cosTheta_i) v))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(*.f32 cosTheta_O cosTheta_i) |
cosTheta_O |
cosTheta_i |
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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.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 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) |
(/.f32 #s(literal -1 binary32) v) |
#s(literal -1 binary32) |
v |
#s(literal 6931/10000 binary32) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #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 (exp.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))) |
(exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(*.f32 (exp.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)) |
(+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) |
#s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.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 6931/10000 binary32) |
(/.f32 #s(literal 1 binary32) v) |
#s(literal 1 binary32) |
v |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 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)))) |
(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)))) |
(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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(log.f32 (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 #s(literal 1/2 binary32) v) |
#s(literal 1/2 binary32) |
v |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
(*.f32 sinTheta_O sinTheta_i) |
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) |
#s(literal 1 binary32) |
#s(literal 6931/10000 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.581888020550545 | (/.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)))) | |
| accuracy | 2.2793624348179966 | (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)))) | |
| accuracy | 3.8250261420715246 | #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))) | |
| accuracy | 7.379100162007359 | (/.f32 (*.f32 sinTheta_O sinTheta_i) v) | |
| accuracy | 0.027928699685565165 | #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) | |
| accuracy | 0.05859375 | (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) | |
| accuracy | 0.0625 | (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) | |
| accuracy | 0.06400095360251203 | (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) | |
| accuracy | 0.0 | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) | |
| accuracy | 0.00390625 | (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) | |
| accuracy | 0.0625 | (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) | |
| accuracy | 0.06635650004715836 | (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) | |
| accuracy | 0.0 | (*.f32 cosTheta_O cosTheta_i) | |
| accuracy | 0.06400095360251203 | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) | |
| accuracy | 7.855464060563365 | (/.f32 (*.f32 cosTheta_O cosTheta_i) v) | |
| accuracy | 28.66996956492306 | #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) | |
| accuracy | 0.0078125 | (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) | |
| accuracy | 0.0234375 | (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v) | |
| accuracy | 0.06635650004715836 | (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) | |
| accuracy | 0.40625 | (*.f32 #s(literal 6931/10000 binary32) v) |
| 203.0ms | 242× | 0 | valid |
| 5.0ms | 14× | 0 | exit |
Compiled 399 to 58 computations (85.5% saved)
ival-sub: 86.0ms (45.8% of total)ival-add: 31.0ms (16.5% of total)ival-mult: 28.0ms (14.9% of total)ival-div: 20.0ms (10.7% of total)ival-exp: 13.0ms (6.9% of total)ival-log: 5.0ms (2.7% of total)const: 4.0ms (2.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 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 cosTheta_O cosTheta_i) v))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(*.f32 cosTheta_O cosTheta_i) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) |
(exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #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))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
#s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) 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_O sinTheta_i) 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_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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(*.f32 #s(literal 6931/10000 binary32) v) |
(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) |
(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) |
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(- (+ 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))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_O cosTheta_i) |
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) 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))))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i 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 (/ (- 6931/10000 (/ 1 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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (* 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O 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 (/ (- 6931/10000 (/ 1 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))) (* -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)) |
(/ (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) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* 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 (+ (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)))))))) |
(+ (* 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 (- (+ (/ (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 (+ (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 v) |
(/ (- (* 6931/10000 v) 1) v) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) 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) |
(exp (- 6931/10000 (/ 1 v))) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) 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) |
(/ (- (* v (+ (log 1/2) (* -1 (log v)))) (* sinTheta_O sinTheta_i)) v) |
(* 6931/10000 v) |
(/ (exp (- 6931/10000 (/ 1 v))) v) |
6931/10000 |
(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) v)) |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) 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))) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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))) |
(- (+ (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) v) |
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) 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))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) 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))))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) 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))) |
(- (+ (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)))) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | sinTheta_i | @ | -inf | ((/ (- (* 6931/10000 v) 1) v) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (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_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (exp (+ (/ -1 v) 6931/10000)) (/ 1/2 v)) (exp (+ (/ -1 v) 6931/10000)) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (/ (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_O sinTheta_i) v)) (* 6931/10000 v) (exp (+ (/ -1 v) 6931/10000)) (/ (exp (+ (/ -1 v) 6931/10000)) v) (+ (/ -1 v) 6931/10000) (- 6931/10000 (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v)) |
| 32.0ms | cosTheta_i | @ | -inf | ((/ (- (* 6931/10000 v) 1) v) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (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_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (exp (+ (/ -1 v) 6931/10000)) (/ 1/2 v)) (exp (+ (/ -1 v) 6931/10000)) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (/ (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_O sinTheta_i) v)) (* 6931/10000 v) (exp (+ (/ -1 v) 6931/10000)) (/ (exp (+ (/ -1 v) 6931/10000)) v) (+ (/ -1 v) 6931/10000) (- 6931/10000 (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v)) |
| 5.0ms | v | @ | -inf | ((/ (- (* 6931/10000 v) 1) v) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (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_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (exp (+ (/ -1 v) 6931/10000)) (/ 1/2 v)) (exp (+ (/ -1 v) 6931/10000)) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (/ (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_O sinTheta_i) v)) (* 6931/10000 v) (exp (+ (/ -1 v) 6931/10000)) (/ (exp (+ (/ -1 v) 6931/10000)) v) (+ (/ -1 v) 6931/10000) (- 6931/10000 (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v)) |
| 4.0ms | v | @ | inf | ((/ (- (* 6931/10000 v) 1) v) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (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_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (exp (+ (/ -1 v) 6931/10000)) (/ 1/2 v)) (exp (+ (/ -1 v) 6931/10000)) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (/ (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_O sinTheta_i) v)) (* 6931/10000 v) (exp (+ (/ -1 v) 6931/10000)) (/ (exp (+ (/ -1 v) 6931/10000)) v) (+ (/ -1 v) 6931/10000) (- 6931/10000 (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v)) |
| 4.0ms | cosTheta_O | @ | -inf | ((/ (- (* 6931/10000 v) 1) v) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (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_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (exp (+ (/ -1 v) 6931/10000)) (/ 1/2 v)) (exp (+ (/ -1 v) 6931/10000)) (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (/ (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_O sinTheta_i) v)) (* 6931/10000 v) (exp (+ (/ -1 v) 6931/10000)) (/ (exp (+ (/ -1 v) 6931/10000)) v) (+ (/ -1 v) 6931/10000) (- 6931/10000 (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 940 | 6394 |
| 1 | 3343 | 6061 |
| 0 | 8928 | 5793 |
| 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(- (+ 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))) |
(/ (* cosTheta_O cosTheta_i) v) |
(* cosTheta_O cosTheta_i) |
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) |
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) |
(- 6931/10000 (/ 1 v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) 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))))) |
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))) |
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i 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 (/ (- 6931/10000 (/ 1 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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(+ (* 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O 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 (/ (- 6931/10000 (/ 1 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))) (* -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)) |
(/ (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) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(* 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 (+ (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))))) |
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(+ (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 (/ (* 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 (- (+ (/ (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 (+ (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 v) |
(/ (- (* 6931/10000 v) 1) v) |
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) 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) |
(exp (- 6931/10000 (/ 1 v))) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) 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) |
(/ (- (* v (+ (log 1/2) (* -1 (log v)))) (* sinTheta_O sinTheta_i)) v) |
(* 6931/10000 v) |
(/ (exp (- 6931/10000 (/ 1 v))) v) |
6931/10000 |
(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) v)) |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) 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))) |
(exp 6931/10000) |
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) |
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) |
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)) |
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(+ (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) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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))) |
(- (+ (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) v) |
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v) |
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) 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))) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) 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))))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v))) |
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v))) |
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) 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))) |
(- (+ (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)))) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) 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)))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))) |
(*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) cosTheta_O) v) (*.f32 (fma.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i)) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(- (+ 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)) |
(/ (* cosTheta_O cosTheta_i) v) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(* cosTheta_O cosTheta_i) |
(*.f32 cosTheta_O cosTheta_i) |
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 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 #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 #s(literal 1 binary32) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 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 #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 #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 #s(literal 1 binary32) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_O)) 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 #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 #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 #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))) |
(- 6931/10000 (/ 1 v)) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) |
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) |
(/ (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))) |
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) |
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) |
(* 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i v))) 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)))) |
(* 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 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) 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 (/ (- 6931/10000 (/ 1 v)) cosTheta_i))))) |
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 cosTheta_O v)))) |
(* -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)))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2)))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3)))))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) cosTheta_i) v) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O)) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 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 #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 #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 #s(literal 1 binary32) v)))) |
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 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 #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 #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 #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 #s(literal 1 binary32) v)))) |
(+ (* 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O 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 (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))) |
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) 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 (/ (- 6931/10000 (/ 1 v)) cosTheta_O))))) |
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v)))) |
(* -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))) (* -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))))) |
(- (+ 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)))) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) 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 (*.f32 sinTheta_O sinTheta_O) 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_i (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))))) (* 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)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_O 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_i (*.f32 (/.f32 (neg.f32 sinTheta_O) 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_i (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))) |
(*.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))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v))) |
(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)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) 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_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))) |
(+ (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))) |
(+.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))) |
(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) |
(* -1 (/ (* sinTheta_O sinTheta_i) v)) |
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) |
(* 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)) sinTheta_i) (*.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v))) (/.f32 (+.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_i)) 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 (- (/ (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 (+ (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 (/ (+ (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)))))) |
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(+ (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)))))))) |
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(+ (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)))))) |
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(+ (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)))))))) |
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(* 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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(* 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))) |
(*.f32 (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) 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))))) |
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(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(* -1 (* sinTheta_O (- (* -1 (/ (log (/ 1/2 v)) sinTheta_O)) (* -1 (/ sinTheta_i v))))) |
(*.f32 (neg.f32 sinTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v))) |
(/ -1 v) |
(/.f32 #s(literal -1 binary32) v) |
(/ (- (* 6931/10000 v) 1) v) |
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #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)) |
(/ (- (* 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 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) |
(exp (- 6931/10000 (/ 1 v))) |
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) |
(/ (- (* cosTheta_O cosTheta_i) 1) v) |
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v) |
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(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v) |
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v) |
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) |
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) |
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v) |
(/.f32 (-.f32 (fma.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) v (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i)) v) |
(/ (- (* v (+ (log 1/2) (* -1 (log v)))) (* sinTheta_O sinTheta_i)) v) |
(/.f32 (-.f32 (*.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) v) (*.f32 sinTheta_O sinTheta_i)) v) |
(* 6931/10000 v) |
(*.f32 #s(literal 6931/10000 binary32) v) |
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(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) |
6931/10000 |
#s(literal 6931/10000 binary32) |
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) |
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(+ (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)))) |
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(* 1/2 (/ (exp 6931/10000) v)) |
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32)) |
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v) |
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v) |
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(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v) |
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(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v) |
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(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v) |
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(+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) |
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(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) |
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 v)))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) |
(exp 6931/10000) |
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(/.f32 (neg.f32 (+.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) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v)) |
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v)) |
(/.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/6 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32)))) v) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 527 |
| 0 | 101 | 506 |
| 1 | 409 | 487 |
| 2 | 2993 | 487 |
| 0 | 8790 | 482 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 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 cosTheta_O cosTheta_i) v))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) |
(/.f32 (*.f32 cosTheta_O cosTheta_i) v) |
(*.f32 cosTheta_O cosTheta_i) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) |
(exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #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))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) |
(+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) |
#s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) 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_O sinTheta_i) 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_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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) |
(*.f32 #s(literal 6931/10000 binary32) v) |
(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) |
(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) |
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(/.f32 (*.f32 sinTheta_O sinTheta_i) v) |
| Outputs |
|---|
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (fma.f32 v (/.f32 #s(literal 6931/10000 binary32) v) (/.f32 #s(literal 1 binary32) v)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) (/.f32 #s(literal 1 binary32) v)))))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32))))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) (neg.f32 v)) (*.f32 v #s(literal -1 binary32)))) (neg.f32 (*.f32 v (neg.f32 v)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) (*.f32 v #s(literal 1 binary32)))) (neg.f32 (*.f32 v v))) |
(/.f32 (-.f32 (neg.f32 (*.f32 v #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (neg.f32 v)) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 v (/.f32 #s(literal 6931/10000 binary32) v) (/.f32 #s(literal 1 binary32) v))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) (/.f32 #s(literal 1 binary32) v))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 v #s(literal 6931/10000 binary32) #s(literal 1 binary32)) v))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v) (fma.f32 v #s(literal 6931/10000 binary32) #s(literal 1 binary32))) v))) |
(/.f32 (-.f32 (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) (neg.f32 v)) (*.f32 v #s(literal -1 binary32))) (*.f32 v (neg.f32 v))) |
(/.f32 (-.f32 (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) (*.f32 v #s(literal 1 binary32))) (*.f32 v v)) |
(/.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) #s(literal 1 binary32)) (*.f32 (fma.f32 v #s(literal 6931/10000 binary32) #s(literal 1 binary32)) v)) |
(/.f32 (-.f32 (pow.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v) (fma.f32 v #s(literal 6931/10000 binary32) #s(literal 1 binary32))) v)) |
(/.f32 (neg.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32))) (neg.f32 v)) |
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v) |
(-.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) v) (/.f32 #s(literal 1 binary32) v)) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32))) v)) |
(neg.f32 (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (neg.f32 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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))) |
(*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)) |
(*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) v)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))) #s(literal 1/2 binary32))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)))) (neg.f32 (neg.f32 v))) |
(/.f32 (*.f32 (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))) #s(literal 1/2 binary32)) (neg.f32 v)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))))) (neg.f32 v)) |
(/.f32 (neg.f32 (*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 1/2 binary32))) (neg.f32 v)) |
(/.f32 (*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)) v) |
(exp.f32 (+.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 2 binary32)) (*.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) #s(literal 2 binary32)) (*.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (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 cosTheta_O v) cosTheta_i)))))) |
(/.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 cosTheta_O v) cosTheta_i))))) |
(+.f32 (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))) |
(+.f32 (cosh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) (sinh.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) |
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) |
(*.f32 (/.f32 cosTheta_O v) cosTheta_i) |
(*.f32 (/.f32 cosTheta_i v) cosTheta_O) |
(*.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 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) |
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1 binary32))) |
(*.f32 cosTheta_O cosTheta_i) |
(*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1 binary32))) |
(*.f32 cosTheta_i cosTheta_O) |
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))) |
#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) |
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) 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 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) |
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (neg.f32 (*.f32 #s(literal -2 binary32) v))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 #s(literal -2 binary32) v)) |
(/.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32))) (neg.f32 (*.f32 #s(literal -2 binary32) v))) |
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(fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 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))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) |
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) |
(*.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) |
(*.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) |
(*.f32 v #s(literal 6931/10000 binary32)) |
(*.f32 #s(literal 6931/10000 binary32) (*.f32 v #s(literal 1 binary32))) |
(*.f32 #s(literal 6931/10000 binary32) v) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (*.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (*.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))))) |
(+.f32 (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))) |
(+.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))) |
(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))))) (neg.f32 (neg.f32 (neg.f32 v)))) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))))) (neg.f32 (neg.f32 v))) |
(/.f32 (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))) (neg.f32 v)) |
(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) v) |
(+.f32 (/.f32 (cosh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) v) (/.f32 (sinh.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) v)) |
(neg.f32 (/.f32 (neg.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v)))) v)) |
(neg.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) v))) (neg.f32 v))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 #s(literal -6931/10000 binary32) v))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (neg.f32 (-.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 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v)))) |
(/.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 (neg.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v))))) |
(/.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 (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 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 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 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 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 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 v #s(literal -3 binary32))))) (neg.f32 (neg.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 6931/10000 binary32) v))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 v #s(literal -3 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 6931/10000 binary32) v)))) |
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) |
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 v #s(literal -3 binary32))) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 6931/10000 binary32) v))) |
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
(-.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 6931/10000 binary32) v))) (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 6931/10000 binary32) v)))) |
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) |
(*.f32 (/.f32 sinTheta_i v) sinTheta_O) |
(*.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))) |
Compiled 25 098 to 2 366 computations (90.6% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 394 | 6 | 400 |
| Fresh | 2 | 9 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 398 | 19 | 417 |
| Status | Accuracy | Program |
|---|---|---|
| 85.8% | (/.f32 (exp.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.8% | (/.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_O sinTheta_i) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 99.8% | (/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) | |
| 47.4% | (/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) (exp.f32 (/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))))) | |
| 4.6% | (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) | |
| 99.3% | (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) | |
| ✓ | 14.0% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) |
| 14.0% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) | |
| 13.5% | (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
| 99.7% | #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(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.f32 #s(literal 1/2 binary32)))) v)) | |
| 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) | |
| 99.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (-.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 0 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))) | |
| 97.8% | #s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) | |
| 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) v) #s(literal 1/2 binary32)))) | |
| ✓ | 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
| 98.0% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) | |
| 99.7% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 v))) #s(literal 1/2 binary32)))) | |
| ✓ | 99.8% | #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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
Compiled 2 682 to 916 computations (65.8% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) 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 cosTheta_O cosTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #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)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 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 (-.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 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) 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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) v) #s(literal 1/2 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)))) |
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))) |
(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))))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 v))) #s(literal 1/2 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (-.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 0 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))))) (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #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 (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (log.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 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #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))))) (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (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 (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.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) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (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))))) (*.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) #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 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) |
(/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))) |
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (* (- (/ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) sinTheta_i) (/ sinTheta_O v)) sinTheta_i) (*.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v)) sinTheta_i))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))) |
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) |
(/.f32 (exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) (log.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) (*.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)) (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))))) |
(/.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_O sinTheta_i) 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 (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 (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 (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (*.f32 v v) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 (*.f32 v v) (+.f32 (/.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 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))) (exp.f32 (/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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)) #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (*.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))))))) |
(/.f32 (exp.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) |
| Outputs |
|---|
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
9 calls:
| 14.0ms | v |
| 14.0ms | (+.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)))) |
| 13.0ms | sinTheta_O |
| 13.0ms | cosTheta_i |
| 12.0ms | cosTheta_O |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | cosTheta_i |
| 99.8% | 1 | cosTheta_O |
| 99.8% | 1 | sinTheta_i |
| 99.8% | 1 | sinTheta_O |
| 99.8% | 1 | v |
| 99.8% | 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))))) |
| 99.8% | 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)))) |
| 99.8% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 99.8% | 1 | (*.f32 sinTheta_i sinTheta_O) |
Compiled 60 to 78 computations (-30% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) 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 cosTheta_O cosTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #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)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) |
| Outputs |
|---|
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) |
9 calls:
| 6.0ms | (+.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)))) |
| 5.0ms | sinTheta_i |
| 4.0ms | cosTheta_i |
| 4.0ms | sinTheta_O |
| 4.0ms | cosTheta_O |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | cosTheta_i |
| 99.8% | 1 | cosTheta_O |
| 99.8% | 1 | sinTheta_i |
| 99.8% | 1 | sinTheta_O |
| 99.8% | 1 | v |
| 99.8% | 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))))) |
| 99.8% | 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)))) |
| 99.8% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 99.8% | 1 | (*.f32 sinTheta_i sinTheta_O) |
Compiled 60 to 78 computations (-30% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) 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 cosTheta_O cosTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #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)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) |
| Outputs |
|---|
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) |
9 calls:
| 41.0ms | cosTheta_O |
| 6.0ms | v |
| 4.0ms | (*.f32 cosTheta_i cosTheta_O) |
| 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)))) |
| 3.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | cosTheta_i |
| 98.0% | 1 | cosTheta_O |
| 98.0% | 1 | sinTheta_i |
| 98.0% | 1 | sinTheta_O |
| 98.0% | 1 | v |
| 98.0% | 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))))) |
| 98.0% | 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)))) |
| 98.0% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 98.0% | 1 | (*.f32 sinTheta_i sinTheta_O) |
Compiled 60 to 78 computations (-30% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) 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 cosTheta_O cosTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #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)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (/.f32 #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 |
|---|
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
9 calls:
| 27.0ms | sinTheta_O |
| 4.0ms | (*.f32 sinTheta_i sinTheta_O) |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | cosTheta_i |
| 97.8% | 1 | cosTheta_O |
| 97.8% | 1 | sinTheta_i |
| 97.8% | 1 | sinTheta_O |
| 97.8% | 1 | v |
| 97.8% | 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))))) |
| 97.8% | 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)))) |
| 97.8% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 97.8% | 1 | (*.f32 sinTheta_i sinTheta_O) |
Compiled 60 to 78 computations (-30% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) 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 cosTheta_O cosTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #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)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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 cosTheta_O cosTheta_i) v))) |
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) |
9 calls:
| 8.0ms | (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)))) |
| 2.0ms | cosTheta_O |
| 2.0ms | cosTheta_i |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.0% | 1 | cosTheta_i |
| 19.1% | 2 | cosTheta_O |
| 14.0% | 1 | sinTheta_i |
| 14.0% | 1 | sinTheta_O |
| 14.0% | 1 | v |
| 14.0% | 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))))) |
| 14.0% | 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)))) |
| 19.6% | 2 | (*.f32 sinTheta_i sinTheta_O) |
| 19.5% | 2 | (*.f32 cosTheta_i cosTheta_O) |
Compiled 60 to 78 computations (-30% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) 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 cosTheta_O cosTheta_i) v))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) |
| 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 cosTheta_O cosTheta_i) v))) |
7 calls:
| 5.0ms | (*.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 | cosTheta_O |
| 2.0ms | sinTheta_i |
| 2.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.0% | 1 | cosTheta_i |
| 14.0% | 1 | sinTheta_i |
| 14.0% | 1 | v |
| 14.0% | 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)))) |
| 14.0% | 1 | cosTheta_O |
| 14.0% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 14.0% | 1 | (*.f32 sinTheta_i sinTheta_O) |
Compiled 34 to 52 computations (-52.9% 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) (exp.f32 #s(literal 6931/10000 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 cosTheta_i v) cosTheta_O))) |
| 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 cosTheta_i v) cosTheta_O))) |
9 calls:
| 3.0ms | sinTheta_i |
| 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)))) |
| 1.0ms | cosTheta_i |
| 1.0ms | v |
| 1.0ms | cosTheta_O |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.0% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 14.0% | 1 | cosTheta_O |
| 14.0% | 1 | sinTheta_O |
| 14.0% | 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))))) |
| 14.0% | 1 | cosTheta_i |
| 14.0% | 1 | sinTheta_i |
| 14.0% | 1 | v |
| 14.0% | 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)))) |
| 14.0% | 1 | (*.f32 sinTheta_i sinTheta_O) |
Compiled 60 to 78 computations (-30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| 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) (exp.f32 #s(literal 6931/10000 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) (exp.f32 #s(literal 6931/10000 binary32))) v)) |
9 calls:
| 2.0ms | sinTheta_i |
| 1.0ms | (+.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)))) |
| 1.0ms | (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))))) |
| 1.0ms | sinTheta_O |
| 1.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.6% | 1 | (*.f32 cosTheta_i cosTheta_O) |
| 4.6% | 1 | cosTheta_O |
| 4.6% | 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))))) |
| 4.6% | 1 | cosTheta_i |
| 4.6% | 1 | sinTheta_i |
| 4.6% | 1 | sinTheta_O |
| 4.6% | 1 | (*.f32 sinTheta_i sinTheta_O) |
| 4.6% | 1 | v |
| 4.6% | 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)))) |
Compiled 60 to 78 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.153792798259175e-37 | 5.4865354906643114e-37 |
Compiled 28 to 29 computations (-3.6% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 371 |
| 1 | 140 | 350 |
| 2 | 283 | 350 |
| 3 | 850 | 340 |
| 4 | 3959 | 331 |
| 1× | node limit |
| Inputs |
|---|
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(if (<=.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2899097/5575186299632655785383929568162090376495104 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 cosTheta_O cosTheta_i) v))) (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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 cosTheta_O cosTheta_i) 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 cosTheta_i v) cosTheta_O))) |
#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 #s(literal 6931/10000 binary32))) v)) |
| Outputs |
|---|
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))) |
#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 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32)))) |
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000) (log (/ 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) |
(if (<=.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2899097/5575186299632655785383929568162090376495104 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 cosTheta_O cosTheta_i) v))) (exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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 cosTheta_O cosTheta_i) 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 cosTheta_i v) cosTheta_O))) |
#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 #s(literal 6931/10000 binary32))) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 527 |
| 0 | 101 | 506 |
| 1 | 409 | 487 |
| 2 | 2993 | 487 |
| 0 | 8790 | 482 |
| 0 | 58 | 438 |
| 0 | 90 | 407 |
| 1 | 371 | 375 |
| 2 | 2888 | 375 |
| 0 | 8877 | 366 |
| 0 | 294 | 1614 |
| 1 | 990 | 1573 |
| 2 | 4250 | 1447 |
| 0 | 8219 | 1368 |
| 0 | 994 | 6454 |
| 1 | 3527 | 6111 |
| 0 | 8389 | 5838 |
| 0 | 940 | 6394 |
| 1 | 3343 | 6061 |
| 0 | 8928 | 5793 |
| 0 | 1298 | 8403 |
| 1 | 4628 | 8253 |
| 0 | 9142 | 7785 |
| 0 | 65 | 534 |
| 0 | 92 | 502 |
| 1 | 367 | 473 |
| 2 | 2830 | 473 |
| 0 | 8564 | 463 |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 637 to 381 computations (40.2% saved)
(sort sinTheta_i sinTheta_O)
(sort cosTheta_i cosTheta_O)
Compiled 1 050 to 398 computations (62.1% saved)
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