
Time bar (total: 8.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 34 to 16 computations (52.9% saved)
| 772.0ms | 6 415× | 0 | valid |
| 534.0ms | 1 841× | 1 | valid |
ival-mult: 216.0ms (22.2% of total)ival-hypot: 180.0ms (18.5% of total)ival-cos: 148.0ms (15.2% of total)adjust: 133.0ms (13.6% of total)ival-div: 126.0ms (12.9% of total)ival-sub: 106.0ms (10.9% of total)ival-add: 52.0ms (5.3% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 189 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 71 | 120 | (2.725066891113237e-240 -3.6822875868387923e+133 9.845418764541833e-45 -1.0611723176841656e+205 3.036894449886739e-236) | 0 | - | (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | lambda2 |
| 0 | 0 | - | 0 | - | (+.f64 phi1 phi2) |
| 0 | 0 | - | 0 | - | phi2 |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 0 | 0 | - | 0 | - | (-.f64 lambda1 lambda2) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) |
| 0 | 0 | - | 0 | - | R |
| 0 | 0 | - | 0 | - | lambda1 |
| 0 | 0 | - | 0 | - | phi1 |
| 0 | 0 | - | 0 | - | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 phi1 phi2) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) | sensitivity | 191 | 1 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) | oflow-rescue | 187 | 0 |
| ↳ | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) | overflow | 116 | |
| ↳ | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) | overflow | 122 | |
| ↳ | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) | overflow | 187 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) | uflow-rescue | 2 | 0 |
| ↳ | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) | underflow | 17 | |
| ↳ | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) | underflow | 16 | |
| ↳ | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) | underflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 112 | 0 |
| - | 117 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 112 | 0 | 0 |
| - | 117 | 0 | 27 |
| number | freq |
|---|---|
| 0 | 27 |
| 1 | 78 |
| 2 | 151 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 132.0ms | 374× | 1 | valid |
| 21.0ms | 138× | 0 | valid |
Compiled 346 to 55 computations (84.1% saved)
ival-mult: 25.0ms (22% of total)ival-cos: 25.0ms (22% of total)adjust: 20.0ms (17.6% of total)ival-sub: 15.0ms (13.2% of total)ival-hypot: 13.0ms (11.5% of total)ival-add: 8.0ms (7.1% of total)ival-div: 6.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 675 |
| 1 | 502 | 669 |
| 2 | 1661 | 669 |
| 3 | 5245 | 669 |
| 0 | 17 | 32 |
| 0 | 28 | 32 |
| 1 | 60 | 32 |
| 2 | 163 | 32 |
| 3 | 463 | 32 |
| 4 | 1268 | 32 |
| 5 | 3278 | 32 |
| 0 | 8254 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| Outputs |
|---|
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
(*.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R) |
(negabs R)
(sort lambda1 lambda2)
(sort phi1 phi2)
Compiled 32 to 17 computations (46.9% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.4% | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
Compiled 32 to 17 computations (46.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| cost-diff | 1 | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) | |
| cost-diff | 15 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 155 |
| 0 | 28 | 155 |
| 1 | 60 | 155 |
| 2 | 163 | 155 |
| 3 | 463 | 155 |
| 4 | 1268 | 155 |
| 5 | 3278 | 155 |
| 0 | 8254 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
R |
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) |
(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)) |
(+.f64 phi1 phi2) |
phi1 |
phi2 |
#s(literal 2 binary64) |
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) |
(-.f64 phi1 phi2) |
| Outputs |
|---|
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
(*.f64 (hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R) |
R |
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
(hypot.f64 (-.f64 phi2 phi1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1))) |
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda2 lambda1))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) |
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) |
(/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)) |
(/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)) |
(+.f64 phi1 phi2) |
(+.f64 phi2 phi1) |
phi1 |
phi2 |
#s(literal 2 binary64) |
(*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) |
(*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)) |
(-.f64 phi1 phi2) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) | |
| accuracy | 15.239209048715823 | (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) | |
| accuracy | 43.89491342553311 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 107.0ms | 187× | 1 | valid |
| 9.0ms | 69× | 0 | valid |
Compiled 157 to 19 computations (87.9% saved)
ival-mult: 43.0ms (44.1% of total)ival-cos: 26.0ms (26.7% of total)adjust: 10.0ms (10.3% of total)ival-hypot: 7.0ms (7.2% of total)ival-sub: 4.0ms (4.1% of total)ival-add: 4.0ms (4.1% of total)ival-div: 3.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) |
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) |
(* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) |
(+ (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) |
(+ (* -1 (* phi1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(cos (* 1/2 phi2)) |
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2))))) |
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2)))))) |
(+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2)))))) |
(* (cos (* 1/2 phi2)) (- lambda1 lambda2)) |
(+ (* -1/2 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* 1/48 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(pow phi1 2) |
(* (pow phi1 2) (+ 1 (* -2 (/ phi2 phi1)))) |
(* (pow phi1 2) (+ 1 (+ (* -2 (/ phi2 phi1)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) (/ (pow phi2 2) (pow phi1 2)))))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) |
(cos (* 1/2 (+ phi1 phi2))) |
(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2)) |
(* -1 phi1) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* (pow phi1 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) phi1)) (* 2 phi2)) phi1)))) |
(* -1 (* R phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) |
(cos (* 1/2 (- phi2 (* -1 phi1)))) |
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (- lambda1 lambda2)) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) |
(+ (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) |
(+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(cos (* 1/2 phi1)) |
(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1))))) |
(+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1)))))) |
(+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1)))))) |
(* (cos (* 1/2 phi1)) (- lambda1 lambda2)) |
(+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(pow phi2 2) |
(* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2)))) |
(* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2)))))) |
(* R phi2) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2)))) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | lambda2 | @ | 0 | ((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) |
| 6.0ms | phi1 | @ | -inf | ((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) |
| 5.0ms | phi1 | @ | 0 | ((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) |
| 5.0ms | phi2 | @ | 0 | ((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) |
| 4.0ms | R | @ | 0 | ((sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 884 | 7902 |
| 1 | 3379 | 7666 |
| 0 | 8115 | 7088 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) |
(* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) |
(+ (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) |
(+ (* -1 (* phi1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(cos (* 1/2 phi2)) |
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2))))) |
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2)))))) |
(+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2)))))) |
(* (cos (* 1/2 phi2)) (- lambda1 lambda2)) |
(+ (* -1/2 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* 1/48 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(pow phi1 2) |
(* (pow phi1 2) (+ 1 (* -2 (/ phi2 phi1)))) |
(* (pow phi1 2) (+ 1 (+ (* -2 (/ phi2 phi1)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) (/ (pow phi2 2) (pow phi1 2)))))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
(* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) |
(cos (* 1/2 (+ phi1 phi2))) |
(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2)) |
(* -1 phi1) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* (pow phi1 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) phi1)) (* 2 phi2)) phi1)))) |
(* -1 (* R phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) |
(cos (* 1/2 (- phi2 (* -1 phi1)))) |
(* (cos (* 1/2 (- phi2 (* -1 phi1)))) (- lambda1 lambda2)) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) |
(+ (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) |
(+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(cos (* 1/2 phi1)) |
(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1))))) |
(+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1)))))) |
(+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1)))))) |
(* (cos (* 1/2 phi1)) (- lambda1 lambda2)) |
(+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(pow phi2 2) |
(* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2)))) |
(* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2)))))) |
(* R phi2) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2)))) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2)) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (*.f64 (neg.f64 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) |
(fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) |
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) lambda1 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) |
(+ (* lambda1 (+ (* -2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) lambda1 (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1) |
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1)) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) |
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1)) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 R (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1) |
(* (pow lambda1 2) (+ (* -2 (/ (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (+ (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda1 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) |
(*.f64 (fma.f64 (*.f64 lambda2 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 lambda2 lambda2) lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1)) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1)) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda1))) (neg.f64 lambda1)))) |
(* (pow lambda1 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda1)) (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda1)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 lambda2) lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1) (*.f64 (*.f64 #s(literal 2 binary64) lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) lambda1) #s(literal -1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda1 lambda1)) |
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (*.f64 (neg.f64 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) |
(fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) |
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) lambda2 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* -2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) |
(+ (* lambda2 (+ (* -2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) lambda2 (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
(*.f64 (fma.f64 (*.f64 lambda1 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (*.f64 lambda2 lambda2)) |
(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (+ (/ (pow (- phi1 phi2) 2) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) |
(*.f64 (fma.f64 (*.f64 lambda1 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (*.f64 lambda2 lambda2)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 lambda2 lambda2)) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
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(* (pow lambda2 2) (+ (* -2 (/ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (+ (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow lambda2 2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) |
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(* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))) |
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
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(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
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(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
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(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64)))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
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(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
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(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
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(* (pow lambda2 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) lambda2)) (* 2 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) |
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(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
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(+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) |
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(+ (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(fma.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)) phi1 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) |
(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
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(+ (* phi1 (+ (* -2 phi2) (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ 1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) phi2 (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 phi1 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/6 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) #s(literal 1 binary64)) phi1))) phi1 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R phi1) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) phi1 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)))))) phi1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (fma.f64 (*.f64 R phi1) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) R)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi2)) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)) |
(* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) |
(+ (* -1 (* phi1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(fma.f64 (neg.f64 phi1) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(fma.f64 (fma.f64 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(+ (* phi1 (+ (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* phi1 (+ (* phi1 (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 phi1 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/6 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) phi1 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(cos (* 1/2 phi2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
(+ (cos (* 1/2 phi2)) (* -1/2 (* phi1 (sin (* 1/2 phi2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (cos (* 1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* 1/2 phi2)))) (* 1/2 (sin (* 1/2 phi2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (cos (* 1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* 1/2 phi2))) (* 1/48 (* phi1 (sin (* 1/2 phi2)))))) (* 1/2 (sin (* 1/2 phi2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(* (cos (* 1/2 phi2)) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(+ (* -1/2 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi1) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* -1/8 (* phi1 (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal -1/2 binary64))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/2 (* (sin (* 1/2 phi2)) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* 1/48 (* phi1 (* (sin (* 1/2 phi2)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (-.f64 lambda1 lambda2) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi1) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal -1/8 binary64))) phi1)) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) phi1) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))))) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1) |
(pow phi1 2) |
(*.f64 phi1 phi1) |
(* (pow phi1 2) (+ 1 (* -2 (/ phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 phi1 phi1)) |
(* (pow phi1 2) (+ 1 (+ (* -2 (/ phi2 phi1)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) (/ (pow phi2 2) (pow phi1 2)))))) |
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(* R phi1) |
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(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
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(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
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(* (pow phi1 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) phi1)) (* 2 phi2)) phi1)))) |
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(* -1 (* R phi1)) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
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(+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) |
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(+ (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
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(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
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(+ (* phi2 (+ (* -2 phi1) (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ 1 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R phi2) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/4 binary64))) phi2 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)))))) phi2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (fma.f64 (*.f64 R phi2) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/4 binary64))) R)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) phi1)) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)) |
(* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) |
(+ (* -1 (* phi2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(fma.f64 (neg.f64 phi2) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(fma.f64 (fma.f64 (*.f64 phi2 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(+ (* phi2 (+ (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* phi2 (+ (* phi2 (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2))) (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2)))))) (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 phi2 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/6 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) phi2 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(cos (* 1/2 phi1)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(+ (cos (* 1/2 phi1)) (* -1/2 (* phi2 (sin (* 1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(+ (cos (* 1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* 1/2 phi1)))) (* 1/2 (sin (* 1/2 phi1)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(+ (cos (* 1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* 1/2 phi1))) (* 1/48 (* phi2 (sin (* 1/2 phi1)))))) (* 1/2 (sin (* 1/2 phi1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal -1/8 binary64))) phi2 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(* (cos (* 1/2 phi1)) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(+ (* -1/2 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) phi2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))) |
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* -1/8 (* phi2 (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal -1/2 binary64))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))) |
(+ (* phi2 (+ (* -1/2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2))) (* phi2 (+ (* -1/8 (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* 1/48 (* phi2 (* (sin (* 1/2 phi1)) (- lambda1 lambda2)))))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (-.f64 lambda1 lambda2) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) phi2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) #s(literal -1/8 binary64))) phi2)) phi2 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) phi2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(pow phi2 2) |
(*.f64 phi2 phi2) |
(* (pow phi2 2) (+ 1 (* -2 (/ phi1 phi2)))) |
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 phi2 phi2)) |
(* (pow phi2 2) (+ 1 (+ (* -2 (/ phi1 phi2)) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)) (/ (pow phi1 2) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 phi1 phi1 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 phi2 phi2))) (*.f64 phi2 phi2)) |
(* R phi2) |
(*.f64 R phi2) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* (pow phi2 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) phi2)) (* 2 phi1)) phi2)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) phi1 (/.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)) (neg.f64 phi2))) phi2) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 phi2 phi2)) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 R) phi2) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2) #s(literal -1 binary64) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)) |
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) |
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 128 |
| 0 | 28 | 86 |
| 1 | 109 | 86 |
| 0 | 966 | 76 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
(*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) |
(cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 phi1 phi2)))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (-.f64 phi1 phi2))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fabs.f64 (-.f64 phi2 phi1))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 phi1 phi2)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2)))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (-.f64 phi1 phi2))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (-.f64 phi2 phi1))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2)) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(hypot.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(hypot.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (neg.f64 (-.f64 phi1 phi2)))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (-.f64 phi1 phi2))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (-.f64 phi2 phi1))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2)) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(hypot.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 phi1 phi2)))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1)))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (neg.f64 (-.f64 phi1 phi2))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (fabs.f64 (-.f64 phi2 phi1))) |
(hypot.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (-.f64 phi1 phi2)) |
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (neg.f64 (-.f64 phi1 phi2)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
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(fma.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
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(fma.f64 (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (fabs.f64 (-.f64 phi2 phi1))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) |
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(fma.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
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(fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (-.f64 phi1 phi2)) (neg.f64 (-.f64 phi1 phi2)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (-.f64 phi2 phi1)) (fabs.f64 (-.f64 phi2 phi1)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(fma.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(fma.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(fma.f64 (-.f64 lambda1 lambda2) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(fma.f64 (-.f64 lambda1 lambda2) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (neg.f64 (-.f64 phi1 phi2)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (fabs.f64 (-.f64 phi2 phi1))) (fabs.f64 (-.f64 phi2 phi1)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))))) |
(+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 phi1 phi2))) (-.f64 phi1 phi2))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) |
(*.f64 R (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) R) |
(*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(*.f64 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(*.f64 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (-.f64 lambda1 lambda2)) |
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) |
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(*.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 lambda1 lambda2) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) |
(pow.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)))) |
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(fabs.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (+.f64 (+.f64 phi2 phi1) (PI.f64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cos.f64 (/.f64 phi1 #s(literal 2 binary64))) (cos.f64 (/.f64 phi2 #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 phi1 #s(literal 2 binary64))) (sin.f64 (/.f64 phi2 #s(literal 2 binary64))))) |
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) |
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 lambda1 lambda2)) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
(/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
Compiled 19 866 to 1 959 computations (90.1% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 394 | 20 | 414 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 395 | 20 | 415 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) | |
| ▶ | 69.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
| ▶ | 72.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
| 15.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1))) | |
| 15.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))) | |
| 21.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) | |
| ▶ | 24.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
| 11.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))) | |
| 34.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) | |
| 56.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) | |
| 18.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)) | |
| 40.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2)) | |
| 12.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) | |
| 24.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| 19.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) | |
| 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| ▶ | 57.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
| 17.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))))) | |
| 39.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) | |
| ▶ | 31.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
Compiled 1 814 to 966 computations (46.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) | |
| cost-diff | 0 | (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) | |
| cost-diff | 0 | (neg.f64 phi1) | |
| cost-diff | 0 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) | |
| cost-diff | 3 | (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) | |
| cost-diff | 0 | (*.f64 R phi2) | |
| cost-diff | 0 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) | |
| cost-diff | 0 | (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 452 |
| 0 | 74 | 452 |
| 1 | 178 | 452 |
| 2 | 521 | 452 |
| 3 | 1439 | 450 |
| 4 | 3661 | 446 |
| 5 | 7535 | 446 |
| 0 | 8133 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(*.f64 #s(literal -1/2 binary64) phi1) |
#s(literal -1/2 binary64) |
phi1 |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R phi2) |
R |
phi2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) |
(neg.f64 phi1) |
phi1 |
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) |
(neg.f64 R) |
R |
(/.f64 phi2 phi1) |
phi2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
#s(literal -1/2 binary64) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
lambda2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
(*.f64 #s(literal -1/2 binary64) phi2) |
#s(literal -1/2 binary64) |
phi2 |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda2 lambda1)) phi1) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 #s(literal -1/2 binary64) phi1) |
#s(literal -1/2 binary64) |
phi1 |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R)) |
(*.f64 R phi2) |
(*.f64 phi2 R) |
R |
phi2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 R) (fma.f64 phi2 #s(literal -1 binary64) phi1))) |
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) |
(*.f64 (neg.f64 R) (fma.f64 phi2 #s(literal -1 binary64) phi1)) |
(neg.f64 phi1) |
phi1 |
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) |
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) |
(neg.f64 R) |
R |
(/.f64 phi2 phi1) |
phi2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
lambda2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda2 lambda1)) phi2) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(*.f64 #s(literal -1/2 binary64) phi2) |
#s(literal -1/2 binary64) |
phi2 |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) | |
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) | |
| accuracy | 0.125 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) | |
| accuracy | 26.020064332582873 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) | |
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) | |
| accuracy | 0.19140625 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) | |
| accuracy | 15.239209048715823 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) | |
| accuracy | 50.13273033904158 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) | |
| accuracy | 0.0 | (neg.f64 R) | |
| accuracy | 2.86288221840753 | (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) | |
| accuracy | 4.959696002979353 | (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) | |
| accuracy | 25.67784909249247 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) | |
| accuracy | 0.0 | (*.f64 R phi2) | |
| accuracy | 44.01891547347224 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) | |
| accuracy | 0.00390625 | (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) | |
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) | |
| accuracy | 0.1171875 | (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) | |
| accuracy | 23.842023932184667 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) |
| 127.0ms | 187× | 1 | valid |
| 38.0ms | 69× | 0 | valid |
Compiled 403 to 36 computations (91.1% saved)
ival-cos: 46.0ms (34.2% of total)ival-hypot: 34.0ms (25.3% of total)ival-mult: 22.0ms (16.4% of total)adjust: 15.0ms (11.1% of total)ival-add: 6.0ms (4.5% of total)ival-div: 6.0ms (4.5% of total)ival-sub: 3.0ms (2.2% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R phi2) |
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(neg.f64 phi1) |
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(neg.f64 R) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* R phi2) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* R (+ 1 (* -1 (/ phi2 phi1)))) |
(* -1 R) |
(* R (* phi1 (- (/ phi2 phi1) 1))) |
(* -1 (* R (- (/ phi2 phi1) 1))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* -1 (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1)))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(* -1 (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2)))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda1 (cos (* -1/2 phi1))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1)))))))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1))))))))) |
(* lambda1 (cos (* -1/2 phi2))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda1)) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* -1 (* lambda1 (cos (* -1/2 phi2)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda2 (cos (* -1/2 phi1))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))) |
(* lambda2 (cos (* -1/2 phi2))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* -1/2 phi1))))) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda2)) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(- lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(* -1 phi1) |
(* -1 (/ (* R phi2) phi1)) |
(/ (+ (* -1 (* R phi2)) (* R phi1)) phi1) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(cos (* -1/2 phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
1 |
(+ 1 (* -1/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* (cos (* -1/2 phi1)) (- lambda1 lambda2)) |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
R |
(+ R (* -1 (/ (* R phi2) phi1))) |
(cos (* -1/2 (+ phi1 phi2))) |
(cos (* -1/2 phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(+ 1 (* -1/8 (pow phi2 2))) |
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8))) |
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (+ (* -1 (/ R phi1)) (/ R phi2))) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* (cos (* -1/2 phi2)) (- lambda1 lambda2)) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1)))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | phi1 | @ | -inf | ((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (neg R) (cos (* -1/2 phi2))) |
| 11.0ms | lambda1 | @ | -inf | ((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (neg R) (cos (* -1/2 phi2))) |
| 10.0ms | lambda2 | @ | 0 | ((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (neg R) (cos (* -1/2 phi2))) |
| 5.0ms | lambda2 | @ | inf | ((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (neg R) (cos (* -1/2 phi2))) |
| 5.0ms | phi1 | @ | 0 | ((* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (neg R) (cos (* -1/2 phi2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1256 | 9456 |
| 1 | 4686 | 9356 |
| 0 | 8135 | 8586 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* R phi2) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* R (+ 1 (* -1 (/ phi2 phi1)))) |
(* -1 R) |
(* R (* phi1 (- (/ phi2 phi1) 1))) |
(* -1 (* R (- (/ phi2 phi1) 1))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* -1 (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1)))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(* -1 (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2)))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda1 (cos (* -1/2 phi1))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1)))))))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1))))))))) |
(* lambda1 (cos (* -1/2 phi2))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda1)) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* -1 (* lambda1 (cos (* -1/2 phi2)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda2 (cos (* -1/2 phi1))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))) |
(* lambda2 (cos (* -1/2 phi2))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* -1/2 phi1))))) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda2)) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(- lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(* -1 phi1) |
(* -1 (/ (* R phi2) phi1)) |
(/ (+ (* -1 (* R phi2)) (* R phi1)) phi1) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(cos (* -1/2 phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
1 |
(+ 1 (* -1/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* (cos (* -1/2 phi1)) (- lambda1 lambda2)) |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
R |
(+ R (* -1 (/ (* R phi2) phi1))) |
(cos (* -1/2 (+ phi1 phi2))) |
(cos (* -1/2 phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(+ 1 (* -1/8 (pow phi2 2))) |
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8))) |
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (+ (* -1 (/ R phi1)) (/ R phi2))) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* (cos (* -1/2 phi2)) (- lambda1 lambda2)) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1)))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R) |
(* R phi2) |
(*.f64 phi2 R) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(*.f64 (neg.f64 R) (*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)) phi1)) |
(* R (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)) R) |
(* -1 R) |
(neg.f64 R) |
(* R (* phi1 (- (/ phi2 phi1) 1))) |
(*.f64 (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R) |
(* -1 (* R (- (/ phi2 phi1) 1))) |
(*.f64 (neg.f64 R) (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)) |
(* -1 (* lambda2 (cos (* -1/2 phi1)))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1)))) |
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) phi2)) |
(* -1 (* lambda2 (cos (* -1/2 phi2)))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi2)))) (* lambda1 (cos (* -1/2 phi2)))) |
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda1) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1) |
(* lambda1 (cos (* -1/2 phi1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda1) (/.f64 phi1 lambda1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda1) |
(* lambda1 (cos (* -1/2 phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda1) (/.f64 phi2 lambda1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (neg.f64 (/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) lambda1) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)) lambda1)))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
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(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
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(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
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(* -1 (* lambda1 (cos (* -1/2 phi1)))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) |
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(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
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(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda1)) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
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(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
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(* -1 (* lambda1 (cos (* -1/2 phi2)))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) |
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(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
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(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
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(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
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(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
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(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
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(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda2) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2) |
(* lambda2 (cos (* -1/2 phi1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda2) (/.f64 phi1 lambda2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))) |
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))) lambda2) |
(* lambda2 (cos (* -1/2 phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda2) (/.f64 phi2 lambda2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda2) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi2))) (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))) |
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (PI.f64)))) lambda2) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
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(- lambda1 lambda2) |
(-.f64 lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi1 phi1) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi1 phi1) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (*.f64 #s(literal 1/384 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
(* -1 phi1) |
(neg.f64 phi1) |
(* -1 (/ (* R phi2) phi1)) |
(*.f64 (neg.f64 R) (/.f64 phi2 phi1)) |
(/ (+ (* -1 (* R phi2)) (* R phi1)) phi1) |
(/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(fma.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)) |
(cos (* -1/2 phi2)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow phi1 2))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1)) #s(literal 1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1) #s(literal 1/384 binary64)) (*.f64 phi1 phi1)) #s(literal 1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(* R phi1) |
(*.f64 phi1 R) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) phi1) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi1) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) phi1) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
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(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(fma.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2) (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal -1/48 binary64))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2))) #s(literal 1/2 binary64) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi2 phi2) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi2 2) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi2 2) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi2 2) (+ (* -1/46080 (* (pow phi2 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2) (*.f64 #s(literal 1/384 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
(+ 1 (* -1/8 (pow phi2 2))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 phi2 phi2) #s(literal 1 binary64)) |
(+ 1 (* (pow phi2 2) (- (* 1/384 (pow phi2 2)) 1/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) #s(literal 1 binary64)) |
(+ 1 (* (pow phi2 2) (- (* (pow phi2 2) (+ 1/384 (* -1/46080 (pow phi2 2)))) 1/8))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64)) (*.f64 phi2 phi2)) #s(literal 1/8 binary64)) (*.f64 phi2 phi2) #s(literal 1 binary64)) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ (* -1 (/ R phi1)) (/ R phi2))) |
(*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) phi2) |
(* (cos (* -1/2 phi2)) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 phi2) R) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2) #s(literal -1 binary64) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 phi1 R (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) phi2))) phi2) #s(literal -1 binary64) R)) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R))) |
(* -1 (* phi2 (+ (* -1 (/ R phi2)) (/ R phi1)))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) lambda2) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal -1/2 binary64))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))) |
(*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 409 |
| 0 | 74 | 321 |
| 1 | 277 | 321 |
| 0 | 2486 | 281 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R phi2) |
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(neg.f64 phi1) |
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(neg.f64 R) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
| Outputs |
|---|
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1)) R) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1)) |
(*.f64 (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 3 binary64)) (pow.f64 phi1 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 phi1)) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 phi1)) |
(hypot.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi1) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 phi1)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 phi1)) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (neg.f64 (fabs.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (neg.f64 (neg.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (fabs.f64 phi1)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 phi1)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (fabs.f64 (fabs.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (pow.f64 phi1 #s(literal 1 binary64)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (fabs.f64 phi1)) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) (neg.f64 phi1)) |
(hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) phi1) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 phi1)) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 phi1)) |
(hypot.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (fabs.f64 phi1)) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 phi1)) |
(hypot.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi1) |
(hypot.f64 (fabs.f64 phi1) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (fabs.f64 phi1) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (fabs.f64 phi1) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (fabs.f64 phi1) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 phi1) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (fabs.f64 phi1) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (fabs.f64 phi1) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (neg.f64 phi1) (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (neg.f64 phi1) (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (neg.f64 phi1) (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (neg.f64 phi1) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 phi1) (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (neg.f64 phi1) (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 (neg.f64 phi1) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (fabs.f64 phi1))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 (neg.f64 phi1))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 (fabs.f64 phi1))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (pow.f64 phi1 #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fabs.f64 phi1)) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 phi1)) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1) |
(hypot.f64 phi1 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 phi1 (neg.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 phi1 (fabs.f64 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64))) |
(hypot.f64 phi1 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 phi1 (fabs.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(hypot.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 phi2 R)) |
(*.f64 phi2 R) |
(*.f64 R phi2) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) |
(*.f64 phi1 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (*.f64 R R)) (neg.f64 phi1)) (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)) |
(/.f64 (*.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (neg.f64 phi1)) (fma.f64 R (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 phi1) (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (*.f64 R R))) (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)) |
(/.f64 (*.f64 (neg.f64 phi1) (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (fma.f64 R (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1))) (*.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (neg.f64 phi1) R))) (-.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 phi1) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (-.f64 (*.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (neg.f64 phi1) R)) (*.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) phi1)) |
(fma.f64 (*.f64 (neg.f64 phi1) (/.f64 phi2 phi1)) (neg.f64 R) (*.f64 (neg.f64 phi1) R)) |
(fma.f64 (*.f64 (neg.f64 phi1) (neg.f64 R)) (/.f64 phi2 phi1) (*.f64 (neg.f64 phi1) R)) |
(fma.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1) (*.f64 (neg.f64 phi1) R)) |
(fma.f64 (/.f64 phi2 phi1) (*.f64 (neg.f64 R) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R)) |
(fma.f64 (neg.f64 R) (*.f64 (/.f64 phi2 phi1) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R)) |
(fma.f64 (neg.f64 phi1) (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (*.f64 (neg.f64 phi1) R)) |
(fma.f64 (neg.f64 phi1) R (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1))) |
(fma.f64 R (neg.f64 phi1) (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1))) |
(-.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 phi1 R)) |
(-.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 R) (neg.f64 phi1))) |
(-.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 (neg.f64 phi1)) R)) |
(+.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1))) |
(+.f64 (*.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) (neg.f64 phi1)) (*.f64 (neg.f64 phi1) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) |
(neg.f64 phi1) |
(/.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))) (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (*.f64 R R))) (neg.f64 (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 R (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (*.f64 R R)) (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)) |
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 R R (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (*.f64 (/.f64 phi2 phi1) (*.f64 (neg.f64 R) R))))) |
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 R (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) |
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) |
(fma.f64 R (neg.f64 (/.f64 phi2 phi1)) R) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R)) (/.f64 (*.f64 R R) (-.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R))) |
(-.f64 R (*.f64 (neg.f64 (/.f64 phi2 phi1)) (neg.f64 R))) |
(-.f64 R (*.f64 (neg.f64 (neg.f64 R)) (/.f64 phi2 phi1))) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (fma.f64 R (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64)))) (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R (-.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) (pow.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 phi2 phi1) (neg.f64 R)) R) |
(+.f64 R (*.f64 (/.f64 phi2 phi1) (neg.f64 R))) |
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(hypot.f64 phi2 (neg.f64 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) |
(hypot.f64 phi2 (neg.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))))) |
(hypot.f64 phi2 (fabs.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))))) |
(hypot.f64 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 1 binary64))) |
(hypot.f64 phi2 (*.f64 (neg.f64 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(hypot.f64 phi2 (fabs.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)))) |
(hypot.f64 phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(/.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(neg.f64 R) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
Compiled 31 897 to 2 541 computations (92% saved)
32 alts after pruning (30 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 23 | 513 |
| Fresh | 8 | 7 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 501 | 32 | 533 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) | |
| 64.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi2))) | |
| ▶ | 67.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) |
| ✓ | 72.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
| ▶ | 67.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
| 25.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2))) | |
| 21.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) | |
| 11.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) | |
| ▶ | 26.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
| 24.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) | |
| ▶ | 34.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| 52.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) | |
| 23.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) | |
| 7.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) | |
| 9.9% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))) | |
| 38.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))) | |
| 10.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) | |
| 37.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) | |
| 21.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| 25.0% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)))) | |
| 8.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) | |
| 56.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) | |
| 12.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) | |
| 24.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| ▶ | 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
| 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| 60.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) | |
| 59.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) | |
| 39.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) | |
| ✓ | 31.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| 58.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) | |
| 57.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
Compiled 3 275 to 1 743 computations (46.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) | |
| cost-diff | 0 | (*.f64 R lambda1) | |
| cost-diff | 0 | (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) | |
| cost-diff | 0 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) | |
| cost-diff | 0 | (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) | |
| cost-diff | 0 | (neg.f64 phi1) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) | |
| cost-diff | 1 | (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 2 | (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 592 |
| 0 | 90 | 577 |
| 1 | 189 | 577 |
| 2 | 479 | 577 |
| 3 | 1252 | 577 |
| 4 | 3279 | 576 |
| 5 | 7563 | 576 |
| 0 | 8092 | 432 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
phi1 |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) |
(neg.f64 phi1) |
phi1 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) |
#s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
phi1 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 R lambda1) |
R |
lambda1 |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
#s(literal -1/2 binary64) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(*.f64 #s(literal 1/2 binary64) phi2) |
#s(literal 1/2 binary64) |
phi2 |
(sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(*.f64 #s(literal -1/2 binary64) phi1) |
#s(literal -1/2 binary64) |
phi1 |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 #s(literal 1/2 binary64) phi1) |
lambda2 |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1)) |
(hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1) |
(hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) phi1) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (+.f64 (PI.f64) phi1) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
phi1 |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) |
(neg.f64 phi1) |
phi1 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda2 lambda1)) phi1)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda2 lambda1)) phi1)) |
(hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1) |
(hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda2 lambda1)) phi1) |
(*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) |
#s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
phi1 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) |
(*.f64 R lambda1) |
(*.f64 lambda1 R) |
R |
lambda1 |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(*.f64 #s(literal 1/2 binary64) phi2) |
#s(literal 1/2 binary64) |
phi2 |
(sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(*.f64 #s(literal -1/2 binary64) phi1) |
#s(literal -1/2 binary64) |
phi1 |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(*.f64 #s(literal 1/2 binary64) phi1) |
lambda2 |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) | |
| accuracy | 0.19140625 | (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) | |
| accuracy | 29.70429140495139 | #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) | |
| accuracy | 50.13273033904158 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) | |
| accuracy | 15.239209048715823 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) | |
| accuracy | 56.06675339231453 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) | |
| accuracy | 0.1171875 | (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) | |
| accuracy | 23.842023932184667 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)) | |
| accuracy | 29.17720735543766 | #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 phi1) | |
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) | |
| accuracy | 45.83370260856585 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) | |
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) | |
| accuracy | 0.1171875 | (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) | |
| accuracy | 23.842023932184667 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1)) | |
| accuracy | 28.894284272384116 | (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
| 169.0ms | 191× | 1 | valid |
| 23.0ms | 65× | 0 | valid |
Compiled 480 to 42 computations (91.3% saved)
ival-mult: 45.0ms (29.5% of total)ival-cos: 28.0ms (18.4% of total)ival-sin: 23.0ms (15.1% of total)adjust: 19.0ms (12.5% of total)ival-hypot: 17.0ms (11.2% of total)ival-add: 9.0ms (5.9% of total)ival-div: 6.0ms (3.9% of total)ival-sub: 3.0ms (2% of total)ival-pi: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) |
(neg.f64 phi1) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 R lambda1) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) |
#s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) |
(* R lambda1) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* -1 (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1)))) |
(* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) |
(+ (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda1 (cos (* -1/2 phi1))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1)))))))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1))))))))) |
(* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) |
(* lambda1 (+ (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (* -1 (/ (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda1)))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda1)) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) (/ (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda1)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda2 (cos (* -1/2 phi1))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))) |
(* lambda2 (+ (* -1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) (/ (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda2))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* -1/2 phi1))))) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda2)) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (* -1 (/ (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda2))))) |
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* 1/2 (* phi1 (cos (* 1/2 (PI)))))) |
(+ (sin (* 1/2 (PI))) (* phi1 (+ (* -1/8 (* phi1 (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI))))))) |
(+ (sin (* 1/2 (PI))) (* phi1 (+ (* 1/2 (cos (* 1/2 (PI)))) (* phi1 (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* phi1 (cos (* 1/2 (PI)))))))))) |
(* 1/2 (PI)) |
(+ (* 1/2 phi1) (* 1/2 (PI))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(* -1 phi1) |
(- lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(* R (* lambda1 (cos (* -1/2 phi2)))) |
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda1 (cos (* -1/2 phi2))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2)))))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2))))))))))) |
(cos (* -1/2 phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(* lambda2 (cos (* -1/2 phi2))) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(* (sin (* 1/2 (PI))) (- lambda1 lambda2)) |
(+ (* 1/2 (* phi1 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/8 (* phi1 (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))) (* 1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* 1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) (* -1/48 (* phi1 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
1 |
(+ 1 (* -1/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(* -1/2 phi2) |
(+ (* -1/2 phi1) (* -1/2 phi2)) |
(+ 1 (* -1/4 (* phi1 phi2))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1)))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8))))) |
(sin (+ (* 1/2 phi1) (* 1/2 (PI)))) |
(* 1/2 phi1) |
(* phi1 (+ 1/2 (* 1/2 (/ (PI) phi1)))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* (cos (* -1/2 phi1)) (- lambda1 lambda2)) |
(cos (* -1/2 (+ phi1 phi2))) |
(* (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (- lambda1 lambda2)) |
(cos (* -1/2 phi1)) |
(* -1/2 phi1) |
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)) |
(+ (cos (* 1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(sin (- (* 1/2 (PI)) (* -1/2 phi1))) |
(* -1 (* phi1 (- (* -1/2 (/ (PI) phi1)) 1/2))) |
(* -1 (* R phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))) |
(* R (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1)))))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(* (sin (- (* 1/2 (PI)) (* -1/2 phi1))) (- lambda1 lambda2)) |
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(* R (* lambda1 (cos (* -1/2 phi1)))) |
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda1 (cos (* -1/2 phi1))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1)))))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1))))))))))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(cos (* 1/2 phi1)) |
(* R phi2) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)) |
(* 1/2 (* phi2 (sin (* -1/2 phi1)))) |
(* phi2 (+ (* 1/2 (sin (* -1/2 phi1))) (/ (cos (* 1/2 phi1)) phi2))) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* R (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2)))))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ (* -1 (/ (cos (* 1/2 phi1)) phi2)) (* -1/2 (sin (* -1/2 phi1)))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | phi1 | @ | 0 | ((sin (+ (* 1/2 phi1) (/ (PI) 2))) (+ (* 1/2 phi1) (/ (PI) 2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* (sin (+ (* 1/2 phi1) (/ (PI) 2))) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (* -1/2 (+ phi2 phi1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1)))) |
| 3.0ms | lambda1 | @ | 0 | ((sin (+ (* 1/2 phi1) (/ (PI) 2))) (+ (* 1/2 phi1) (/ (PI) 2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* (sin (+ (* 1/2 phi1) (/ (PI) 2))) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (* -1/2 (+ phi2 phi1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1)))) |
| 3.0ms | phi2 | @ | 0 | ((sin (+ (* 1/2 phi1) (/ (PI) 2))) (+ (* 1/2 phi1) (/ (PI) 2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* (sin (+ (* 1/2 phi1) (/ (PI) 2))) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (* -1/2 (+ phi2 phi1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1)))) |
| 3.0ms | R | @ | 0 | ((sin (+ (* 1/2 phi1) (/ (PI) 2))) (+ (* 1/2 phi1) (/ (PI) 2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* (sin (+ (* 1/2 phi1) (/ (PI) 2))) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (* -1/2 (+ phi2 phi1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1)))) |
| 3.0ms | R | @ | -inf | ((sin (+ (* 1/2 phi1) (/ (PI) 2))) (+ (* 1/2 phi1) (/ (PI) 2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda1) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda1) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* (sin (+ (* 1/2 phi1) (/ (PI) 2))) (- lambda1 lambda2)) (cos (* -1/2 phi1)) (* -1/2 (+ phi2 phi1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1155 | 8445 |
| 1 | 4283 | 8375 |
| 0 | 8784 | 7704 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) |
(* R lambda1) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* -1 (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1)))) |
(* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) |
(+ (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda1 (cos (* -1/2 phi1))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1)))))))) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1))))))))) |
(* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) |
(* lambda1 (+ (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (* -1 (/ (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda1)))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda1)) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) (/ (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda1)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda2 (cos (* -1/2 phi1))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))) |
(* lambda2 (+ (* -1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) (/ (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda2))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* -1/2 phi1))))) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* lambda2 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda2)) (* lambda1 (cos (* -1/2 phi1)))) lambda2))))) |
(* -1 (* lambda2 (+ (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (* -1 (/ (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda2))))) |
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* 1/2 (* phi1 (cos (* 1/2 (PI)))))) |
(+ (sin (* 1/2 (PI))) (* phi1 (+ (* -1/8 (* phi1 (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI))))))) |
(+ (sin (* 1/2 (PI))) (* phi1 (+ (* 1/2 (cos (* 1/2 (PI)))) (* phi1 (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* phi1 (cos (* 1/2 (PI)))))))))) |
(* 1/2 (PI)) |
(+ (* 1/2 phi1) (* 1/2 (PI))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(* -1 phi1) |
(- lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(* R (* lambda1 (cos (* -1/2 phi2)))) |
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda1 (cos (* -1/2 phi2))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2)))))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2))))))))))) |
(cos (* -1/2 phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(* lambda2 (cos (* -1/2 phi2))) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(* (sin (* 1/2 (PI))) (- lambda1 lambda2)) |
(+ (* 1/2 (* phi1 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* -1/8 (* phi1 (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))) (* 1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(+ (* phi1 (+ (* 1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) (* -1/48 (* phi1 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
1 |
(+ 1 (* -1/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(* -1/2 phi2) |
(+ (* -1/2 phi1) (* -1/2 phi2)) |
(+ 1 (* -1/4 (* phi1 phi2))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1)))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8))))) |
(sin (+ (* 1/2 phi1) (* 1/2 (PI)))) |
(* 1/2 phi1) |
(* phi1 (+ 1/2 (* 1/2 (/ (PI) phi1)))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* (cos (* -1/2 phi1)) (- lambda1 lambda2)) |
(cos (* -1/2 (+ phi1 phi2))) |
(* (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (- lambda1 lambda2)) |
(cos (* -1/2 phi1)) |
(* -1/2 phi1) |
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)) |
(+ (cos (* 1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(sin (- (* 1/2 (PI)) (* -1/2 phi1))) |
(* -1 (* phi1 (- (* -1/2 (/ (PI) phi1)) 1/2))) |
(* -1 (* R phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))) |
(* R (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1)))))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(* (sin (- (* 1/2 (PI)) (* -1/2 phi1))) (- lambda1 lambda2)) |
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(* R (* lambda1 (cos (* -1/2 phi1)))) |
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda1 (cos (* -1/2 phi1))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1)))))))) |
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1))))))))))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(cos (* 1/2 phi1)) |
(* R phi2) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)) |
(* 1/2 (* phi2 (sin (* -1/2 phi1)))) |
(* phi2 (+ (* 1/2 (sin (* -1/2 phi1))) (/ (cos (* 1/2 phi1)) phi2))) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* R (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2)))))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ (* -1 (/ (cos (* 1/2 phi1)) phi2)) (* -1/2 (sin (* -1/2 phi1)))))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R) |
(* R (* lambda1 (cos (* -1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* R lambda1) |
(*.f64 lambda1 R) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 lambda1 R) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 R) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)) |
(* -1 (* lambda2 (cos (* -1/2 phi1)))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (* -1 (* lambda2 (cos (* -1/2 phi1)))) (* lambda1 (cos (* -1/2 phi1)))) |
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)) |
(* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) |
(*.f64 (neg.f64 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))) |
(+ (* -1 (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI)))))) |
(fma.f64 (neg.f64 lambda2) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) lambda1)) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda1) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1) |
(* lambda1 (cos (* -1/2 phi1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* -1/2 phi1))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda1) (/.f64 phi1 lambda1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda1) |
(* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) lambda1) |
(* lambda1 (+ (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (* -1 (/ (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64))))) lambda1) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 lambda1 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
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(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) lambda1) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi1)))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda2 (cos (* -1/2 phi1))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda1 (cos (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi1)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi1 2)) (* lambda1 (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (cos (* -1/2 phi1))))) lambda1)) (* lambda2 (cos (* -1/2 phi1)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) lambda1) (*.f64 phi1 phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(* -1 (* lambda1 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda2 (cos (* -1/2 phi1))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64))))) |
(* -1 (* lambda1 (+ (* -1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) (/ (* lambda2 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) lambda1) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)) (PI.f64))))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) R)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 R) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi1)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi1)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi1)) 2) (- (pow (cos (* -1/2 phi1)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi1)) 2)) (pow phi1 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1))))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) phi1)) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda2) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2) |
(* lambda2 (cos (* -1/2 phi1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi1)) (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi1)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi1))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi1 2)) (* (pow lambda2 3) (cos (* -1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda2 2) (cos (* -1/2 phi1))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi1 phi1) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi1 lambda2) (/.f64 phi1 lambda2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda2) |
(* lambda2 (+ (* -1 (cos (* -1/2 phi1))) (/ (* lambda1 (cos (* -1/2 phi1))) lambda2))) |
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (PI.f64)))) lambda2) |
(* lambda2 (+ (* -1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) (/ (* lambda1 (sin (+ (* 1/2 phi1) (* 1/2 (PI))))) lambda2))) |
(*.f64 (fma.f64 lambda1 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) lambda2) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)) (PI.f64)))) lambda2) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda2)))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
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(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2))))) phi1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
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(* -1 phi1) |
(neg.f64 phi1) |
(- lambda1 lambda2) |
(-.f64 lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi1 phi1) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi1 2) (+ (* 1/2 (/ (* (pow phi1 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi1 phi1) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* (pow phi1 2) (+ (* -1/46080 (* (pow phi1 2) (- lambda1 lambda2))) (* 1/384 (- lambda1 lambda2))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (*.f64 #s(literal 1/384 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) lambda1) lambda2) |
(* R (* lambda1 (cos (* -1/2 phi2)))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (* 1/2 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda1 (cos (* -1/2 phi2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda1 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda1 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda1 R) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64))) phi1 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(+ (* R (* lambda1 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda1 (* phi1 (sin (* -1/2 phi2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (*.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) phi1)) phi1 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(cos (* -1/2 phi2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal -1/8 binary64))) phi1 (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(* lambda2 (cos (* -1/2 phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(fma.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal -1/8 binary64))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) |
(* (sin (* 1/2 (PI))) (- lambda1 lambda2)) |
(*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) |
(+ (* 1/2 (* phi1 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2) (*.f64 (*.f64 #s(literal 1/2 binary64) phi1) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) |
(+ (* phi1 (+ (* -1/8 (* phi1 (* (sin (* 1/2 (PI))) (- lambda1 lambda2)))) (* 1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64))) phi1 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))) |
(+ (* phi1 (+ (* 1/2 (* (cos (* 1/2 (PI))) (- lambda1 lambda2))) (* phi1 (+ (* -1/8 (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) (* -1/48 (* phi1 (* (cos (* 1/2 (PI))) (- lambda1 lambda2)))))))) (* (sin (* 1/2 (PI))) (- lambda1 lambda2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal -1/8 binary64))) phi1 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64))) phi1 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow phi1 2))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1)) #s(literal 1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1) #s(literal 1/384 binary64)) (*.f64 phi1 phi1)) #s(literal 1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(* -1/2 phi2) |
(*.f64 #s(literal -1/2 binary64) phi2) |
(+ (* -1/2 phi1) (* -1/2 phi2)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(+ 1 (* -1/4 (* phi1 phi2))) |
(fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1)))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)) |
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(sin (+ (* 1/2 phi1) (* 1/2 (PI)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) |
(* 1/2 phi1) |
(*.f64 #s(literal 1/2 binary64) phi1) |
(* phi1 (+ 1/2 (* 1/2 (/ (PI) phi1)))) |
(*.f64 (fma.f64 (/.f64 (PI.f64) phi1) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) phi1) |
(* R phi1) |
(*.f64 R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) phi1) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi1) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
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phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
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(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
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(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
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(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
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(* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
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(* (cos (* -1/2 phi1)) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(cos (* -1/2 (+ phi1 phi2))) |
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(* (sin (+ (* 1/2 phi1) (* 1/2 (PI)))) (- lambda1 lambda2)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) (-.f64 lambda1 lambda2)) |
(cos (* -1/2 phi1)) |
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(* -1/2 phi1) |
(*.f64 #s(literal -1/2 binary64) phi1) |
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 phi2 phi1) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) phi1) |
(+ (cos (* 1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
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(sin (- (* 1/2 (PI)) (* -1/2 phi1))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi1 (PI.f64)))) |
(* -1 (* phi1 (- (* -1/2 (/ (PI) phi1)) 1/2))) |
(*.f64 (neg.f64 phi1) (-.f64 (*.f64 (/.f64 (PI.f64) phi1) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* R phi1)) |
(*.f64 (neg.f64 R) phi1) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
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(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
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(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) #s(literal -1/2 binary64) phi2) phi1) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
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(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(*.f64 (neg.f64 phi1) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi1 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* phi1 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) (pow phi1 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi1)) 6) (pow (- lambda1 lambda2) 6)) (pow phi1 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))))) |
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(* R (* lambda1 (cos (* -1/2 (- phi2 (* -1 phi1)))))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64)))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
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(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
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(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
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(* R (* lambda1 (cos (* -1/2 phi1)))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (* 1/2 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda1 (cos (* -1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda1 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1)))))))) |
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(+ (* R (* lambda1 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda1 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda1 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda1 (* phi2 (sin (* -1/2 phi1))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda1) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (*.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda1 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) phi2)) phi2 (*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(fma.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (*.f64 lambda2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal -1/8 binary64))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(cos (* 1/2 phi1)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(* R phi2) |
(*.f64 phi2 R) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 phi1 phi2) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) phi2) |
(* 1/2 (* phi2 (sin (* -1/2 phi1)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(* phi2 (+ (* 1/2 (sin (* -1/2 phi1))) (/ (cos (* 1/2 phi1)) phi2))) |
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2)) phi2) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 R) phi2) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2) #s(literal -1 binary64) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* R (* lambda1 (cos (* -1/2 (- phi1 (* -1 phi2)))))) |
(*.f64 (*.f64 lambda1 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) lambda2) |
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* -1 (* phi2 (+ (* -1 (/ (cos (* 1/2 phi1)) phi2)) (* -1/2 (sin (* -1/2 phi1)))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (neg.f64 phi2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 525 |
| 0 | 90 | 414 |
| 1 | 318 | 414 |
| 0 | 2619 | 369 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) |
(neg.f64 phi1) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 R lambda1) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) |
#s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) |
(fma.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 phi1 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1 binary64))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 phi1 #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 phi1 #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 lambda1 R))) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))))) |
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 phi2 #s(literal 1/2 binary64)))) |
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (neg.f64 (*.f64 phi2 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) |
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2))) |
(+.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 phi2 #s(literal 1/2 binary64)))) |
Compiled 28 208 to 2 405 computations (91.5% saved)
41 alts after pruning (36 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 13 | 439 |
| Fresh | 2 | 23 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 430 | 41 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) | |
| ▶ | 72.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1))) |
| 64.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi2))) | |
| 40.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64))))))) (-.f64 lambda1 lambda2)) phi1))) | |
| 45.9% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 phi1) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) phi1))) (-.f64 lambda1 lambda2)) phi1))) | |
| ✓ | 72.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
| ✓ | 67.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
| 25.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2))) | |
| 21.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) | |
| 11.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) | |
| ✓ | 26.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
| 24.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) | |
| ▶ | 25.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
| 27.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) | |
| 29.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) | |
| 25.0% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) | |
| ✓ | 34.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| ▶ | 52.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
| 23.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) | |
| 7.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) | |
| 9.9% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))) | |
| 38.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))) | |
| 37.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) | |
| 21.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| 8.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) | |
| 56.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) | |
| 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) lambda1)) | |
| 12.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) | |
| ▶ | 24.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
| 12.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) | |
| 9.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 10.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 7.5% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) | |
| 11.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| 60.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) | |
| 59.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) | |
| 39.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) | |
| ✓ | 31.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| ▶ | 58.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
| 57.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
Compiled 4 229 to 2 294 computations (45.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) | |
| cost-diff | 0 | (*.f64 R lambda2) | |
| cost-diff | 0 | (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) | |
| cost-diff | 0 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| cost-diff | 0 | #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) | |
| cost-diff | 0 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) | |
| cost-diff | 0 | (neg.f64 phi1) | |
| cost-diff | 0 | #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R))) | |
| cost-diff | 0 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) | |
| cost-diff | 2 | (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) | |
| cost-diff | 3 | (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))))) | |
| cost-diff | 5 | (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) | |
| cost-diff | 5 | (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) | |
| cost-diff | 10 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1179 |
| 0 | 144 | 886 |
| 1 | 369 | 860 |
| 2 | 1140 | 809 |
| 3 | 6960 | 803 |
| 0 | 8027 | 632 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) |
(*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) |
(*.f64 phi1 #s(literal 1/2 binary64)) |
phi1 |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(*.f64 #s(literal -1/2 binary64) phi1) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R))) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
(neg.f64 phi1) |
phi1 |
R |
(*.f64 phi2 R) |
phi2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) |
#s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) |
(-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) |
#s(literal 1/96 binary64) |
(*.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/8 binary64) |
(*.f64 #s(literal -1/4 binary64) phi2) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
lambda2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 R lambda2) |
R |
lambda2 |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
#s(literal -1/2 binary64) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) |
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(*.f64 #s(literal 1/2 binary64) phi2) |
#s(literal 1/2 binary64) |
phi2 |
lambda1 |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1)) |
(hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 phi1 #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) phi1) |
phi1 |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 #s(literal -1/2 binary64) phi1) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64))) |
(-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
#s(literal 0 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (-.f64 phi2 phi1)))) |
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R))) |
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (-.f64 phi2 phi1))) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
(*.f64 R (-.f64 phi2 phi1)) |
(neg.f64 phi1) |
phi1 |
R |
(*.f64 phi2 R) |
phi2 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) |
#s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) |
#s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) |
(fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) |
(-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) |
(*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) |
#s(literal 1/96 binary64) |
(*.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/8 binary64) |
(*.f64 #s(literal -1/4 binary64) phi2) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
lambda2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 lambda2 R))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 lambda2 R)) |
(*.f64 R lambda2) |
(*.f64 lambda2 R) |
R |
lambda2 |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) R) |
R |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) |
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(*.f64 #s(literal 1/2 binary64) phi2) |
#s(literal 1/2 binary64) |
phi2 |
lambda1 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) | |
| accuracy | 0.12109375 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) | |
| accuracy | 20.858726906345254 | #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) | |
| accuracy | 26.020064332582873 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) | |
| accuracy | 0.18978500976844204 | (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) | |
| accuracy | 15.239209048715823 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) | |
| accuracy | 47.753866500379544 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| accuracy | 0.5131356201141452 | (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) | |
| accuracy | 29.70429140495139 | #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) | |
| accuracy | 31.806079666944584 | #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) | |
| accuracy | 50.13273033904158 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) | |
| accuracy | 0.0 | (neg.f64 phi1) | |
| accuracy | 0.0 | #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R))) | |
| accuracy | 1.0038952404222408 | (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) | |
| accuracy | 25.67784909249247 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) | |
| accuracy | 0.197597509768442 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) | |
| accuracy | 0.3053512695368841 | (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) | |
| accuracy | 0.42327890629507237 | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| accuracy | 23.842023932184667 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1)) |
| 298.0ms | 187× | 1 | valid |
| 73.0ms | 69× | 0 | valid |
Compiled 870 to 77 computations (91.1% saved)
ival-mult: 90.0ms (29.7% of total)ival-pow: 44.0ms (14.5% of total)ival-cos: 42.0ms (13.9% of total)adjust: 36.0ms (11.9% of total)ival-hypot: 35.0ms (11.6% of total)ival-add: 18.0ms (5.9% of total)ival-sin: 13.0ms (4.3% of total)ival-div: 8.0ms (2.6% of total)ival-sub: 7.0ms (2.3% of total)const: 6.0ms (2% of total)ival-neg: 2.0ms (0.7% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R))) |
(neg.f64 phi1) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 R lambda2) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) |
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
#s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) |
(*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) |
| Outputs |
|---|
(* R (+ phi2 (* -1 phi1))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) |
(* R lambda2) |
(* -1 (* R (+ phi1 (* -1 phi2)))) |
(* R (* phi1 (- (/ phi2 phi1) 1))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
phi2 |
(+ phi2 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) phi2))) |
(+ phi2 (* (pow lambda1 2) (+ (* -1/8 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 3))) (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))))) |
(+ phi2 (* (pow lambda1 2) (+ (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) (* (pow lambda1 2) (+ (* -1/8 (/ (pow (cos (* 1/2 phi2)) 4) (pow phi2 3))) (* 1/16 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 5)))))))) |
(* lambda1 (cos (* 1/2 phi2))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda1 (cos (* -1/2 phi2))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 phi2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))) |
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))) |
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (+ (* 1/16 (/ (pow phi2 6) (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 5)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi2)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (cos (* 1/2 phi2)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (+ (* 1/16 (/ (pow phi2 6) (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 5)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda2 (cos (* -1/2 phi2))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (cos (* -1/2 phi2)))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
1 |
(+ 1 (* -1/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
0 |
(+ 1 (* -1/4 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/48 (pow phi1 2)) 1/4))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/48 (* -1/1440 (pow phi1 2)))) 1/4))) |
(* R phi2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(* -1 phi1) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(cos (* -1/2 phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(* R (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* 1/2 (* R (* lambda2 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda2 (cos (* -1/2 phi2))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda2 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* -1/2 phi2)))))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda2 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))) |
(+ 1 (* -3/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 7/128 (pow phi1 2)) 3/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 7/128 (* -61/15360 (pow phi1 2)))) 3/8))) |
(+ 1 (* -1/4 (* phi1 phi2))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1)))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8))))) |
(* 1/96 (* phi1 phi2)) |
(* -1/2 phi2) |
(+ (* -1/2 phi1) (* -1/2 phi2)) |
(cos (* -1/2 phi1)) |
(pow (cos (* -1/2 phi1)) 2) |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(cos (* -1/2 (+ phi1 phi2))) |
(pow (cos (* -1/2 phi1)) 3) |
(+ (cos (* 1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(* -1/2 phi1) |
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) |
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(* lambda2 (cos (* -1/2 phi1))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(* R (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* 1/2 (* R (* lambda2 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda2 (cos (* -1/2 phi1))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda2 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* -1/2 phi1)))))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda2 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))) |
(- lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
lambda1 |
(+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow lambda1 2)))) lambda1))) |
(+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2))))) lambda1)) (* 1/2 (/ (+ 1 (* -1/4 (pow lambda1 2))) lambda1))))) |
(+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow lambda1 2))) lambda1)) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow lambda1 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow lambda1 2))) (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2))))) (pow lambda1 2))))) lambda1)) (* 1/2 (/ (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2)))) lambda1))))))) |
(cos (* 1/2 phi1)) |
(+ lambda1 (* -1/8 (* lambda1 (pow phi2 2)))) |
(+ lambda1 (* (pow phi2 2) (+ (* -1/8 lambda1) (* 1/384 (* lambda1 (pow phi2 2)))))) |
(+ lambda1 (* (pow phi2 2) (+ (* -1/8 lambda1) (* (pow phi2 2) (+ (* -1/46080 (* lambda1 (pow phi2 2))) (* 1/384 lambda1)))))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) |
(* 1/2 (* phi2 (sin (* -1/2 phi1)))) |
(* phi2 (+ (* 1/2 (sin (* -1/2 phi1))) (/ (cos (* 1/2 phi1)) phi2))) |
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))))) |
(* -1 (* phi2 (+ (* -1 (/ (cos (* 1/2 phi1)) phi2)) (* -1/2 (sin (* -1/2 phi1)))))) |
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | lambda1 | @ | inf | ((/ (+ (pow (* (sin (* phi1 1/2)) 0) 3) (pow (* (cos (* -1/2 phi1)) 1) 3)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1))))) (* (sin (* phi1 1/2)) 0) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)))) (+ (* (neg phi1) R) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (* (cos (* -1/2 phi1)) 1) 3) (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (* 1/96 (* phi2 phi1)) (* -1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1)) |
| 13.0ms | lambda1 | @ | 0 | ((/ (+ (pow (* (sin (* phi1 1/2)) 0) 3) (pow (* (cos (* -1/2 phi1)) 1) 3)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1))))) (* (sin (* phi1 1/2)) 0) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)))) (+ (* (neg phi1) R) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (* (cos (* -1/2 phi1)) 1) 3) (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (* 1/96 (* phi2 phi1)) (* -1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1)) |
| 5.0ms | phi2 | @ | 0 | ((/ (+ (pow (* (sin (* phi1 1/2)) 0) 3) (pow (* (cos (* -1/2 phi1)) 1) 3)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1))))) (* (sin (* phi1 1/2)) 0) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)))) (+ (* (neg phi1) R) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (* (cos (* -1/2 phi1)) 1) 3) (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (* 1/96 (* phi2 phi1)) (* -1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1)) |
| 5.0ms | R | @ | 0 | ((/ (+ (pow (* (sin (* phi1 1/2)) 0) 3) (pow (* (cos (* -1/2 phi1)) 1) 3)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1))))) (* (sin (* phi1 1/2)) 0) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)))) (+ (* (neg phi1) R) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (* (cos (* -1/2 phi1)) 1) 3) (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (* 1/96 (* phi2 phi1)) (* -1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1)) |
| 4.0ms | R | @ | -inf | ((/ (+ (pow (* (sin (* phi1 1/2)) 0) 3) (pow (* (cos (* -1/2 phi1)) 1) 3)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1))))) (* (sin (* phi1 1/2)) 0) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)) (+ (* (* (sin (* phi1 1/2)) 0) (* (sin (* phi1 1/2)) 0)) (- (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (* (* (sin (* phi1 1/2)) 0) (* (cos (* -1/2 phi1)) 1)))) (+ (* (neg phi1) R) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (neg phi1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (* (cos (* -1/2 (+ phi2 phi1))) lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (* R lambda2) (cos (* -1/2 (+ phi2 phi1)))) (* R lambda2) (cos (* -1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (pow (* (cos (* -1/2 phi1)) 1) 3) (* (* (cos (* -1/2 phi1)) 1) (* (cos (* -1/2 phi1)) 1)) (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (* 1/96 (* phi2 phi1)) (* -1/2 (+ phi2 phi1)) (* (cos (* 1/2 phi2)) lambda1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1217 | 8895 |
| 1 | 4499 | 8821 |
| 0 | 9406 | 8122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* R (+ phi2 (* -1 phi1))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) |
(* R lambda2) |
(* -1 (* R (+ phi1 (* -1 phi2)))) |
(* R (* phi1 (- (/ phi2 phi1) 1))) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
phi2 |
(+ phi2 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) phi2))) |
(+ phi2 (* (pow lambda1 2) (+ (* -1/8 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 3))) (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))))) |
(+ phi2 (* (pow lambda1 2) (+ (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) (* (pow lambda1 2) (+ (* -1/8 (/ (pow (cos (* 1/2 phi2)) 4) (pow phi2 3))) (* 1/16 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 5)))))))) |
(* lambda1 (cos (* 1/2 phi2))) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda1 (cos (* -1/2 phi2))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))) |
(* lambda1 (+ (cos (* 1/2 phi2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))) |
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))) |
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (+ (* 1/16 (/ (pow phi2 6) (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 5)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi2)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(* -1 (* lambda1 (cos (* 1/2 phi2)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (+ (* 1/16 (/ (pow phi2 6) (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 5)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(* lambda2 (cos (* -1/2 phi2))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(* -1 (* lambda2 (cos (* -1/2 phi2)))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
1 |
(+ 1 (* -1/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
0 |
(+ 1 (* -1/4 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 1/48 (pow phi1 2)) 1/4))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/48 (* -1/1440 (pow phi1 2)))) 1/4))) |
(* R phi2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(* -1 phi1) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(cos (* -1/2 phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(* R (* lambda2 (cos (* -1/2 phi2)))) |
(+ (* 1/2 (* R (* lambda2 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda2 (cos (* -1/2 phi2))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda2 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* -1/2 phi2)))))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda2 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))) |
(+ 1 (* -3/8 (pow phi1 2))) |
(+ 1 (* (pow phi1 2) (- (* 7/128 (pow phi1 2)) 3/8))) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 7/128 (* -61/15360 (pow phi1 2)))) 3/8))) |
(+ 1 (* -1/4 (* phi1 phi2))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1)))) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8))))) |
(* 1/96 (* phi1 phi2)) |
(* -1/2 phi2) |
(+ (* -1/2 phi1) (* -1/2 phi2)) |
(cos (* -1/2 phi1)) |
(pow (cos (* -1/2 phi1)) 2) |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(* R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(cos (* -1/2 (+ phi1 phi2))) |
(pow (cos (* -1/2 phi1)) 3) |
(+ (cos (* 1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(* -1/2 phi1) |
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) |
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
(* lambda2 (cos (* -1/2 phi1))) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(* R (* lambda2 (cos (* -1/2 phi1)))) |
(+ (* 1/2 (* R (* lambda2 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda2 (cos (* -1/2 phi1))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda2 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* -1/2 phi1)))))))) |
(+ (* R (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda2 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))) |
(- lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
lambda1 |
(+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow lambda1 2)))) lambda1))) |
(+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2))))) lambda1)) (* 1/2 (/ (+ 1 (* -1/4 (pow lambda1 2))) lambda1))))) |
(+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow lambda1 2))) lambda1)) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow lambda1 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow lambda1 2))) (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2))))) (pow lambda1 2))))) lambda1)) (* 1/2 (/ (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2)))) lambda1))))))) |
(cos (* 1/2 phi1)) |
(+ lambda1 (* -1/8 (* lambda1 (pow phi2 2)))) |
(+ lambda1 (* (pow phi2 2) (+ (* -1/8 lambda1) (* 1/384 (* lambda1 (pow phi2 2)))))) |
(+ lambda1 (* (pow phi2 2) (+ (* -1/8 lambda1) (* (pow phi2 2) (+ (* -1/46080 (* lambda1 (pow phi2 2))) (* 1/384 lambda1)))))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) |
(* 1/2 (* phi2 (sin (* -1/2 phi1)))) |
(* phi2 (+ (* 1/2 (sin (* -1/2 phi1))) (/ (cos (* 1/2 phi1)) phi2))) |
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(* -1 (* R phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(* -1 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))))) |
(* -1 (* phi2 (+ (* -1 (/ (cos (* 1/2 phi1)) phi2)) (* -1/2 (sin (* -1/2 phi1)))))) |
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))) |
| Outputs |
|---|
(* R (+ phi2 (* -1 phi1))) |
(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R) |
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (-.f64 phi1 phi2)) R) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(*.f64 (neg.f64 R) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1)) |
(* R (* lambda2 (cos (* -1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* R lambda2) |
(*.f64 lambda2 R) |
(* -1 (* R (+ phi1 (* -1 phi2)))) |
(*.f64 (neg.f64 R) (fma.f64 #s(literal -1 binary64) phi2 phi1)) |
(* R (* phi1 (- (/ phi2 phi1) 1))) |
(*.f64 (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) R) |
(* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 R lambda1) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda1 (+ (* -1 (* (* R (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R)) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2))) |
(sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) lambda1) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2)) |
(+ (sqrt (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda1 (+ (* -1 (* (* lambda2 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda2 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) phi2)) |
phi2 |
(+ phi2 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) phi2))) |
(fma.f64 (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) #s(literal 1/2 binary64) phi2) |
(+ phi2 (* (pow lambda1 2) (+ (* -1/8 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 3))) (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2) #s(literal 1/2 binary64))) (*.f64 lambda1 lambda1) phi2) |
(+ phi2 (* (pow lambda1 2) (+ (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) (* (pow lambda1 2) (+ (* -1/8 (/ (pow (cos (* 1/2 phi2)) 4) (pow phi2 3))) (* 1/16 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 lambda1 lambda1) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2) #s(literal 1/2 binary64))) (*.f64 lambda1 lambda1) phi2) |
(* lambda1 (cos (* 1/2 phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda1) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda1) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* (pow lambda1 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda1) |
(* lambda1 (cos (* -1/2 phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) |
(* lambda1 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1)) (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* (pow lambda1 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* -1/2 phi2))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda1) (/.f64 phi2 lambda1))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda1) |
(* lambda1 (+ (cos (* 1/2 phi2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) |
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 lambda1 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 phi2 phi2)) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) |
(* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (+ (* 1/16 (/ (pow phi2 6) (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 5)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 lambda1 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 phi2 #s(literal 6 binary64)) (pow.f64 lambda1 #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 phi2 phi2)) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda1) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda2 (pow (- phi1 phi2) 2))) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) R) lambda1) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))) (neg.f64 lambda1)))) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow (- phi1 phi2) 2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda1 (cos (* -1/2 phi2)))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda2 (cos (* -1/2 phi2))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda1 (cos (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda1 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda2 (pow phi2 2)) (* lambda1 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda1)) (* lambda2 (cos (* -1/2 phi2)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda2) lambda1) (*.f64 phi2 phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (neg.f64 lambda1))) lambda1) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda1 (cos (* 1/2 phi2)))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2))))))))) |
(*.f64 (neg.f64 lambda1) (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 lambda1 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 phi2 phi2)) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 phi2)) (+ (* -1/8 (/ (pow phi2 4) (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 3)))) (+ (* 1/16 (/ (pow phi2 6) (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 5)))) (* 1/2 (/ (pow phi2 2) (* (pow lambda1 2) (cos (* 1/2 phi2)))))))))) |
(*.f64 (neg.f64 lambda1) (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 lambda1 #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 phi2 #s(literal 6 binary64)) (pow.f64 lambda1 #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 phi2 phi2)) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) |
(+ (* -1 (* (* R (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* R (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 lambda2 R) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(+ (* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (* lambda2 (+ (* -1 (* (* R (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (* R (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3))))) (* 1/2 (* (* R (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 R lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) R) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R)) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2))) |
(* lambda2 (cos (* -1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* -1 (* (* lambda1 (* lambda2 (pow (cos (* -1/2 phi2)) 2))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda2 (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) lambda2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2)) |
(+ (sqrt (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))) (* lambda2 (+ (* -1 (* (* lambda1 (pow (cos (* -1/2 phi2)) 2)) (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* lambda2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)))))) (* 1/2 (* (* lambda1 (* lambda2 (* (pow (cos (* -1/2 phi2)) 2) (- (pow (cos (* -1/2 phi2)) 2) (/ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 4)) (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2))))))) (sqrt (/ 1 (pow (+ (* (pow lambda1 2) (pow (cos (* -1/2 phi2)) 2)) (pow phi2 2)) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal 3 binary64)))) (*.f64 (*.f64 lambda1 lambda2) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1) phi2)) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (+ (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))) (* R (cos (* 1/2 (+ phi1 phi2)))))))) |
(*.f64 (fma.f64 R (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R)))) lambda2) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (+ (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* (pow lambda2 3) (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (cos (* 1/2 (+ phi1 phi2)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) lambda2) |
(* lambda2 (cos (* -1/2 phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)))) |
(*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (/.f64 (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) lambda2) |
(* lambda2 (+ (cos (* -1/2 phi2)) (+ (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2)) (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* (pow lambda2 3) (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (* (pow lambda2 2) (cos (* -1/2 phi2))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (/.f64 phi2 lambda2) (/.f64 phi2 lambda2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) lambda2) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1/2 (/ (* R (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda2)))) |
(* -1 (* lambda2 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* R (* lambda1 (pow (- phi1 phi2) 2))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (* R (pow (- phi1 phi2) 2)) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) R (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) R) lambda2) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda2))) (neg.f64 lambda2)))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1/2 (/ (pow (- phi1 phi2) 2) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1)) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow (- phi1 phi2) 2)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* 1/2 (/ (pow (- phi1 phi2) 2) (cos (* 1/2 (+ phi1 phi2)))))) lambda2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda2) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 lambda2))) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(* -1 (* lambda2 (cos (* -1/2 phi2)))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (* lambda1 (cos (* -1/2 phi2))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* -1/2 phi2))))) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda2) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1)) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(* -1 (* lambda2 (+ (cos (* -1/2 phi2)) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* lambda1 (pow phi2 2)) (* lambda2 (cos (* -1/2 phi2))))) (* 1/2 (/ (pow phi2 2) (cos (* -1/2 phi2))))) lambda2)) (* lambda1 (cos (* -1/2 phi2)))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda1 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 phi2 phi2) lambda1) lambda2) (*.f64 phi2 phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) (neg.f64 lambda2))) lambda2) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow phi1 2))) |
(fma.f64 (*.f64 phi1 phi1) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* 1/384 (pow phi1 2)) 1/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1)) #s(literal 1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/384 (* -1/46080 (pow phi1 2)))) 1/8))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1) #s(literal 1/384 binary64)) (*.f64 phi1 phi1)) #s(literal 1/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
0 |
#s(literal 0 binary64) |
(+ 1 (* -1/4 (pow phi1 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* 1/48 (pow phi1 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 phi1 phi1)) #s(literal 1/4 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/48 (* -1/1440 (pow phi1 2)))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 phi1 phi1) #s(literal 1/48 binary64)) (*.f64 phi1 phi1)) #s(literal 1/4 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(* R phi2) |
(*.f64 phi2 R) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(*.f64 (fma.f64 #s(literal -1 binary64) phi1 phi2) R) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R) |
(+ (* 1/2 (* (* R (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R phi1) (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -2 binary64) phi2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) R)) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
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(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (* phi1 (+ (* 1/2 (* (* R (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (* R (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
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(* -1 phi1) |
(neg.f64 phi1) |
(sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* 1/2 (* (* phi1 (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (* phi1 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))) (* phi1 (+ (* 1/2 (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (* phi1 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) (* 1/2 (* (* phi1 (- (* (+ (* 1/24 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) (* 1/8 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi2)) 2)) (* 1/4 (pow (sin (* 1/2 phi2)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi2) (* -1 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))))))) |
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(+ (* 1/2 (* lambda2 (* phi1 (sin (* -1/2 phi2))))) (* lambda2 (cos (* -1/2 phi2)))) |
(fma.f64 (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* -1/8 (* lambda2 (* phi1 (cos (* -1/2 phi2))))) (* 1/2 (* lambda2 (sin (* -1/2 phi2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal -1/8 binary64))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi2))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi2)))) (* -1/48 (* lambda2 (* phi1 (sin (* -1/2 phi2)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) phi1) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2)) |
(cos (* -1/2 phi2)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) |
(+ (cos (* -1/2 phi2)) (* 1/2 (* phi1 (sin (* -1/2 phi2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* -1/8 (* phi1 (cos (* -1/2 phi2)))) (* -1/2 (sin (* -1/2 phi2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (cos (* -1/2 phi2)) (* phi1 (- (* phi1 (+ (* -1/8 (cos (* -1/2 phi2))) (* -1/48 (* phi1 (sin (* -1/2 phi2)))))) (* -1/2 (sin (* -1/2 phi2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (*.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) phi1 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(* R (* lambda2 (cos (* -1/2 phi2)))) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) |
(+ (* 1/2 (* R (* lambda2 (* phi1 (sin (* -1/2 phi2)))))) (* R (* lambda2 (cos (* -1/2 phi2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(+ (* R (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* -1/8 (* R (* lambda2 (* phi1 (cos (* -1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* -1/2 phi2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))))) phi1 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(+ (* R (* lambda2 (cos (* -1/2 phi2)))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* -1/2 phi2))))) (* phi1 (+ (* -1/8 (* R (* lambda2 (cos (* -1/2 phi2))))) (* -1/48 (* R (* lambda2 (* phi1 (sin (* -1/2 phi2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) lambda2) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda2 phi1) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2))) #s(literal -1/8 binary64))) phi1)) phi1 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))) |
(+ 1 (* -3/8 (pow phi1 2))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* 7/128 (pow phi1 2)) 3/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 7/128 binary64) (*.f64 phi1 phi1)) #s(literal 3/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 7/128 (* -61/15360 (pow phi1 2)))) 3/8))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/15360 binary64) (*.f64 phi1 phi1) #s(literal 7/128 binary64)) (*.f64 phi1 phi1)) #s(literal 3/8 binary64)) (*.f64 phi1 phi1) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (* phi1 phi2))) |
(fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* -1/8 phi1)))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)) |
(+ 1 (* phi1 (+ (* -1/4 phi2) (* phi1 (- (* 1/96 (* phi1 phi2)) 1/8))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)) |
(* 1/96 (* phi1 phi2)) |
(*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) |
(* -1/2 phi2) |
(*.f64 #s(literal -1/2 binary64) phi2) |
(+ (* -1/2 phi1) (* -1/2 phi2)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(cos (* -1/2 phi1)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(pow (cos (* -1/2 phi1)) 2) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) |
(* -1 (* R phi1)) |
(*.f64 (neg.f64 phi1) R) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1) |
(* R phi1) |
(*.f64 R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) phi1) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))))) phi1) |
(* phi1 (+ R (+ (* -1 (/ (* R phi2) phi1)) (+ (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi1 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 2))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))))))) phi1) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (+ (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi1 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi2 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (/.f64 (neg.f64 phi2) phi1)) #s(literal 1 binary64)) phi1) |
(cos (* -1/2 (+ phi1 phi2))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(pow (cos (* -1/2 phi1)) 3) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 3 binary64)) |
(+ (cos (* 1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(* -1/2 phi1) |
(*.f64 #s(literal -1/2 binary64) phi1) |
(* phi1 (- (* -1/2 (/ phi2 phi1)) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 phi2 phi1)) #s(literal 1/2 binary64)) phi1) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))) #s(literal -1/2 binary64) (*.f64 phi2 R)) phi1) #s(literal -1 binary64) R)) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)))) phi1))) phi1)) (* R phi2)) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 phi2 R (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)))))) (neg.f64 phi1))) phi1) #s(literal -1 binary64) R)) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) #s(literal -1/2 binary64) phi2) phi1) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi2 (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1))) phi1))) phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1))))) phi1) #s(literal -1 binary64) phi2) phi1) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1))))) |
(*.f64 (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) lambda2) |
(cos (* -1/2 (- phi2 (* -1 phi1)))) |
(cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64))) |
(* R (* lambda2 (cos (* -1/2 (- phi2 (* -1 phi1)))))) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) #s(literal 1/2 binary64)))) |
(* -1 (* phi1 (+ 1/2 (* 1/2 (/ phi2 phi1))))) |
(*.f64 (neg.f64 phi1) (fma.f64 #s(literal 1/2 binary64) (/.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
(*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R) |
(+ (* 1/2 (* (* R (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 phi2 R) (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 #s(literal -2 binary64) phi1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 phi1)))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) R)) |
(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
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(+ (* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (* phi2 (+ (* 1/2 (* (* R (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (* R (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (* R (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
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(sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* 1/2 (* (* phi2 (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (* phi2 (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))) |
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(+ (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))) (* phi2 (+ (* 1/2 (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (* phi2 (+ (* 1/2 (* (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))) (* 1/2 (* (* phi2 (- (* (+ (* 1/24 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1)))) (* 1/8 (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) (- (+ 1 (* (+ (* -1/4 (pow (cos (* 1/2 phi1)) 2)) (* 1/4 (pow (sin (* 1/2 phi1)) 2))) (pow (- lambda1 lambda2) 2))) (* 1/4 (/ (pow (+ (* -2 phi1) (* -1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) (sqrt (/ 1 (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))))))))) |
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(* lambda2 (cos (* -1/2 phi1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) |
(+ (* 1/2 (* lambda2 (* phi2 (sin (* -1/2 phi1))))) (* lambda2 (cos (* -1/2 phi1)))) |
(fma.f64 (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* -1/8 (* lambda2 (* phi2 (cos (* -1/2 phi1))))) (* 1/2 (* lambda2 (sin (* -1/2 phi1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (*.f64 (*.f64 lambda2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal -1/8 binary64))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (* lambda2 (cos (* -1/2 phi1))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* lambda2 (cos (* -1/2 phi1)))) (* -1/48 (* lambda2 (* phi2 (sin (* -1/2 phi1)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) phi2) (*.f64 (*.f64 #s(literal -1/8 binary64) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) |
(+ (cos (* -1/2 phi1)) (* 1/2 (* phi2 (sin (* -1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* -1/8 (* phi2 (cos (* -1/2 phi1)))) (* -1/2 (sin (* -1/2 phi1)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (cos (* -1/2 phi1)) (* phi2 (- (* phi2 (+ (* -1/8 (cos (* -1/2 phi1))) (* -1/48 (* phi2 (sin (* -1/2 phi1)))))) (* -1/2 (sin (* -1/2 phi1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/8 binary64))) phi2 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64))) phi2 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(* R (* lambda2 (cos (* -1/2 phi1)))) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (* 1/2 (* R (* lambda2 (* phi2 (sin (* -1/2 phi1)))))) (* R (* lambda2 (cos (* -1/2 phi1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* R (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* -1/8 (* R (* lambda2 (* phi2 (cos (* -1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* -1/2 phi1)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (*.f64 (*.f64 lambda2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* R (* lambda2 (cos (* -1/2 phi1)))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* -1/2 phi1))))) (* phi2 (+ (* -1/8 (* R (* lambda2 (cos (* -1/2 phi1))))) (* -1/48 (* R (* lambda2 (* phi2 (sin (* -1/2 phi1))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) R) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) lambda2) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) R) (*.f64 (*.f64 lambda2 phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal -1/8 binary64))) phi2)) phi2 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(- lambda1 lambda2) |
(-.f64 lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 phi2 phi2)) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2)))))) lambda2) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
(- (+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- lambda1 lambda2))) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2))))) (pow (- lambda1 lambda2) 2))))) (- lambda1 lambda2))) (* 1/2 (/ (- (* 1/48 (pow (- lambda1 lambda2) 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2))) 2) (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))))))) lambda2) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (*.f64 phi2 phi2) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
lambda1 |
(+ lambda1 (* 1/2 (/ (* (pow phi2 2) (+ 1 (* -1/4 (pow lambda1 2)))) lambda1))) |
(fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1) |
(+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2))))) lambda1)) (* 1/2 (/ (+ 1 (* -1/4 (pow lambda1 2))) lambda1))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 lambda1 lambda1) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 lambda1 lambda1)))) (*.f64 phi2 phi2) (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64))) lambda1)) (*.f64 phi2 phi2) lambda1) |
(+ lambda1 (* (pow phi2 2) (+ (* 1/2 (/ (+ 1 (* -1/4 (pow lambda1 2))) lambda1)) (* (pow phi2 2) (+ (* 1/2 (/ (* (pow phi2 2) (- (* -1/1440 (pow lambda1 2)) (* 1/2 (/ (* (+ 1 (* -1/4 (pow lambda1 2))) (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2))))) (pow lambda1 2))))) lambda1)) (* 1/2 (/ (- (* 1/48 (pow lambda1 2)) (* 1/4 (/ (pow (+ 1 (* -1/4 (pow lambda1 2))) 2) (pow lambda1 2)))) lambda1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 lambda1 lambda1) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 lambda1 lambda1) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 lambda1 lambda1)))) lambda1) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)))) (*.f64 phi2 phi2) (fma.f64 #s(literal 1/48 binary64) (*.f64 lambda1 lambda1) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 lambda1 lambda1))))) lambda1)) (*.f64 phi2 phi2) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1) #s(literal 1/2 binary64))) (*.f64 phi2 phi2) lambda1) |
(cos (* 1/2 phi1)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(+ lambda1 (* -1/8 (* lambda1 (pow phi2 2)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) lambda1) (*.f64 phi2 phi2) lambda1) |
(+ lambda1 (* (pow phi2 2) (+ (* -1/8 lambda1) (* 1/384 (* lambda1 (pow phi2 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 phi2 phi2) lambda1) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi2 phi2) lambda1) |
(+ lambda1 (* (pow phi2 2) (+ (* -1/8 lambda1) (* (pow phi2 2) (+ (* -1/46080 (* lambda1 (pow phi2 2))) (* 1/384 lambda1)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 phi2 phi2) lambda1) (*.f64 #s(literal 1/384 binary64) lambda1)) (*.f64 phi2 phi2) (*.f64 #s(literal -1/8 binary64) lambda1)) (*.f64 phi2 phi2) lambda1) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2)))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))))) phi2) |
(* phi2 (+ R (+ (* -1 (/ (* R phi1) phi2)) (+ (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)))) (pow phi2 3))) (* 1/2 (/ (* R (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 2))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) (*.f64 #s(literal -1/2 binary64) (fma.f64 R (*.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64)))) (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))))))) phi2) |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (+ (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2))) (pow phi2 3))) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) (/.f64 (neg.f64 phi1) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) (*.f64 (*.f64 (pow.f64 lambda1 #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64))) #s(literal 1 binary64)) phi2) |
(* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 lambda1 #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) (*.f64 (*.f64 (pow.f64 lambda1 #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) phi2) |
(* 1/2 (* phi2 (sin (* -1/2 phi1)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(* phi2 (+ (* 1/2 (sin (* -1/2 phi1))) (/ (cos (* 1/2 phi1)) phi2))) |
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2)) phi2) |
(* phi2 (- (* -1/2 (/ phi1 phi2)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 phi1 phi2) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) phi2) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R))) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 phi2) R) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 R (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2) #s(literal -1 binary64) R)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) (* 1/2 (/ (* R (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)))) phi2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 R (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)))))) (neg.f64 phi2))) phi2) #s(literal -1 binary64) R)) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) #s(literal -1/2 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1 (/ (+ (* 1/2 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) (* 1/2 (/ (* phi1 (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2))) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi1 (*.f64 (pow.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2))))) phi2) #s(literal -1 binary64) phi1) phi2) #s(literal -1 binary64) #s(literal 1 binary64))) |
(* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2))))) |
(*.f64 (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) lambda2) |
(cos (* -1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64))) |
(* R (* lambda2 (cos (* -1/2 (- phi1 (* -1 phi2)))))) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 (-.f64 phi1 (neg.f64 phi2)) #s(literal 1/2 binary64)))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2))))))) |
(*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow (cos (* -1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow (cos (* -1/2 phi2)) 6) (pow (- lambda1 lambda2) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow (cos (* -1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))))) |
(*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 phi2 phi2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2))))))) |
(*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) (*.f64 (*.f64 (pow.f64 lambda1 #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ 1 (+ (* -1/8 (/ (* (pow lambda1 4) (pow (cos (* 1/2 phi2)) 4)) (pow phi2 4))) (+ (* 1/16 (/ (* (pow lambda1 6) (pow (cos (* 1/2 phi2)) 6)) (pow phi2 6))) (* 1/2 (/ (* (pow lambda1 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)))))))) |
(*.f64 (neg.f64 phi2) (+.f64 (fma.f64 (*.f64 (pow.f64 lambda1 #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 lambda1 lambda1) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 2 binary64)) phi2)) (*.f64 (*.f64 (pow.f64 lambda1 #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) #s(literal 6 binary64)) (pow.f64 phi2 #s(literal 6 binary64)))) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) |
(* -1 (* phi2 (+ (* -1 (/ (cos (* 1/2 phi1)) phi2)) (* -1/2 (sin (* -1/2 phi1)))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (neg.f64 phi2)))) |
(* -1 (* phi2 (+ 1/2 (* 1/2 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 (/.f64 phi1 phi2) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 799 |
| 0 | 142 | 578 |
| 0 | 605 | 518 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) |
(*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R))) |
(neg.f64 phi1) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 R lambda2) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))) |
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) |
#s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) |
(*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) |
(*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)))) |
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)))) |
(*.f64 R (+.f64 (neg.f64 phi1) phi2)) |
(/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))) |
(/.f64 (+.f64 (pow.f64 (*.f64 R (neg.f64 phi1)) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64))) (fma.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1)) (-.f64 (*.f64 (*.f64 phi2 R) (*.f64 phi2 R)) (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) |
(fma.f64 phi2 R (*.f64 R (neg.f64 phi1))) |
(fma.f64 R phi2 (*.f64 R (neg.f64 phi1))) |
(fma.f64 R (neg.f64 phi1) (*.f64 phi2 R)) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
(-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 (neg.f64 phi2) R)) |
(+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R)) |
(+.f64 (*.f64 phi2 R) (*.f64 R (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2))) |
(neg.f64 phi1) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) R) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2)) |
(*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2) |
(*.f64 lambda2 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))))) |
#s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda2 R))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda2 R)) |
(*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) |
(*.f64 R (*.f64 lambda2 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(*.f64 lambda2 R) |
(*.f64 R lambda2) |
(sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) phi2))) R) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) phi2)))) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) phi2))) |
#s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) phi2)) |
(pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) #s(literal 2 binary64)))) |
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) (neg.f64 phi2)) |
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) (fabs.f64 phi2)) |
(hypot.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) phi2) |
(hypot.f64 (neg.f64 phi2) (neg.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1))) |
(hypot.f64 (neg.f64 phi2) (fabs.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1))) |
(hypot.f64 (neg.f64 phi2) (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) |
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) (neg.f64 phi2)) |
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) (fabs.f64 phi2)) |
(hypot.f64 (fabs.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) phi2) |
(hypot.f64 (fabs.f64 phi2) (neg.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1))) |
(hypot.f64 (fabs.f64 phi2) (fabs.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1))) |
(hypot.f64 (fabs.f64 phi2) (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) (neg.f64 phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) (fabs.f64 phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) phi2) |
(hypot.f64 phi2 (neg.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1))) |
(hypot.f64 phi2 (fabs.f64 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1))) |
(hypot.f64 phi2 (*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1)) |
#s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64)))) phi1)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) |
(*.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (fabs.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 2 binary64)) |
#s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/96 binary64) phi2) phi1) |
(*.f64 (*.f64 phi2 phi1) #s(literal 1/96 binary64)) |
(*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) |
(*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)) |
(fma.f64 phi2 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) phi1)) |
(fma.f64 #s(literal -1/2 binary64) phi2 (*.f64 #s(literal -1/2 binary64) phi1)) |
(+.f64 (*.f64 phi2 #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) phi1)) |
(*.f64 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64))) lambda1) |
(*.f64 lambda1 (cos.f64 (*.f64 phi2 #s(literal 1/2 binary64)))) |
Compiled 25 471 to 2 063 computations (91.9% saved)
45 alts after pruning (38 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 9 | 316 |
| Fresh | 2 | 29 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 312 | 45 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) | |
| 72.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 lambda1 lambda2)) phi1))) | |
| 64.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi2))) | |
| 40.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64))))))) (-.f64 lambda1 lambda2)) phi1))) | |
| 45.9% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 phi1) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) phi1))) (-.f64 lambda1 lambda2)) phi1))) | |
| ✓ | 72.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
| ✓ | 67.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
| 25.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2))) | |
| 21.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) | |
| 11.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) | |
| ✓ | 26.4% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
| 24.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) | |
| ✓ | 25.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
| 27.2% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) | |
| 29.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) | |
| 25.0% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) | |
| ✓ | 34.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| ✓ | 52.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
| 8.9% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) | |
| 23.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) | |
| 7.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) | |
| 19.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1))))) | |
| 9.9% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))) | |
| 38.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))) | |
| 37.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) | |
| 21.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| 8.7% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) | |
| 56.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) | |
| 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) lambda1)) | |
| 12.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) | |
| 24.5% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) | |
| 25.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1))))) | |
| 12.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) | |
| 9.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 10.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 7.5% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) | |
| 11.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| 11.6% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) | |
| 60.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) | |
| 59.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) | |
| 39.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) | |
| ✓ | 31.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| 26.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) | |
| 57.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) | |
| 59.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
Compiled 5 992 to 1 748 computations (70.8% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) lambda1)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 #s(approx (+ (* 1/2 phi1) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) phi1))) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (fma.f64 (*.f64 #s(literal 1/2 binary64) phi2) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi1 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) phi2 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 lambda1 lambda2)) phi2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) lambda1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))) lambda2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))) lambda1)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))))) |
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64))))))) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 1 binary64)))))) (-.f64 lambda1 lambda2)) phi1))) |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
9 calls:
| 49.0ms | phi1 |
| 40.0ms | R |
| 29.0ms | (-.f64 lambda1 lambda2) |
| 21.0ms | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 16.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | (-.f64 lambda1 lambda2) |
| 79.1% | 2 | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 79.1% | 2 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 78.0% | 2 | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 79.1% | 4 | R |
| 77.3% | 3 | lambda1 |
| 76.3% | 2 | lambda2 |
| 89.5% | 2 | phi1 |
| 91.6% | 2 | phi2 |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
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#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2))))) |
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 phi1 #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 phi1 phi1) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 phi1 #s(literal 1/2 binary64))))))) (-.f64 lambda1 lambda2)) phi1))) |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2))) |
1 calls:
| 16.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | phi2 |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) lambda1)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
2 calls:
| 13.0ms | phi1 |
| 11.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 2 | phi1 |
| 88.4% | 2 | phi2 |
Compiled 2 to 10 computations (-400% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) lambda1)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2)))) |
1 calls:
| 12.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 2 | phi2 |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 #s(approx (* -1/2 (+ phi2 phi1)) (*.f64 #s(literal -1/2 binary64) phi2))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi1)) (- lambda1 lambda2)) (* (cos (* -1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) lambda1)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda1))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1) (PI.f64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 (*.f64 lambda2 R)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 phi2 phi1)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (sin.f64 (fma.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1) (/.f64 (PI.f64) #s(literal 2 binary64)))) lambda2))) |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
2 calls:
| 20.0ms | (-.f64 lambda1 lambda2) |
| 10.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 2 | (-.f64 lambda1 lambda2) |
| 80.3% | 2 | phi2 |
Compiled 4 to 11 computations (-175% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 phi2 phi1)) #s(literal 1/8 binary64)) phi1 (*.f64 #s(literal -1/4 binary64) phi2)) phi1 #s(literal 1 binary64)))) lambda2))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) #s(approx (sqrt (+ (* (* (cos (* 1/2 phi2)) lambda1) (* (cos (* 1/2 phi2)) lambda1)) (* phi2 phi2))) (fma.f64 (*.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 lambda1 lambda1) #s(literal 1 binary64)) lambda1)) #s(literal 1/2 binary64) lambda1))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (/.f64 (-.f64 (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1))) (*.f64 (*.f64 phi2 R) (*.f64 phi2 R))) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 R))))) |
| Outputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
9 calls:
| 9.0ms | phi1 |
| 5.0ms | (-.f64 lambda1 lambda2) |
| 4.0ms | phi2 |
| 4.0ms | lambda1 |
| 4.0ms | R |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 3 | lambda1 |
| 64.3% | 2 | R |
| 68.4% | 3 | lambda2 |
| 65.0% | 2 | (-.f64 lambda1 lambda2) |
| 62.1% | 2 | phi1 |
| 60.2% | 1 | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 60.2% | 1 | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 60.2% | 1 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 64.3% | 2 | phi2 |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
| Outputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
1 calls:
| 3.0ms | lambda2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 3 | lambda2 |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) R) phi2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) phi2 (*.f64 #s(literal -1/8 binary64) phi1)) phi1 #s(literal 1 binary64)))) lambda2))) |
| Outputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))) |
1 calls:
| 3.0ms | lambda2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 2 | lambda2 |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)))) |
(*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi2 phi2)))) |
| Outputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
9 calls:
| 3.0ms | (-.f64 lambda1 lambda2) |
| 2.0ms | R |
| 2.0ms | lambda1 |
| 2.0ms | lambda2 |
| 2.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 1 | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 59.9% | 1 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 59.9% | 1 | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 59.9% | 1 | phi1 |
| 59.9% | 1 | lambda1 |
| 59.9% | 1 | phi2 |
| 59.9% | 1 | R |
| 59.9% | 1 | (-.f64 lambda1 lambda2) |
| 59.9% | 1 | lambda2 |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| Outputs |
|---|
(*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
9 calls:
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 1.0ms | lambda1 |
| 1.0ms | R |
| 1.0ms | phi2 |
| 1.0ms | phi1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 2 | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 34.7% | 1 | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 34.7% | 1 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 53.5% | 2 | phi1 |
| 56.0% | 2 | phi2 |
| 42.1% | 5 | (-.f64 lambda1 lambda2) |
| 39.5% | 3 | R |
| 39.9% | 2 | lambda2 |
| 39.9% | 4 | lambda1 |
Compiled 99 to 79 computations (20.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| Outputs |
|---|
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
9 calls:
| 1.0ms | R |
| 1.0ms | phi2 |
| 1.0ms | phi1 |
| 1.0ms | (-.f64 lambda1 lambda2) |
| 1.0ms | lambda1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.2% | 1 | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 31.2% | 1 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 31.2% | 1 | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 31.2% | 1 | lambda1 |
| 31.2% | 1 | (-.f64 lambda1 lambda2) |
| 31.2% | 1 | R |
| 31.2% | 1 | lambda2 |
| 31.2% | 1 | phi1 |
| 31.2% | 1 | phi2 |
Compiled 99 to 79 computations (20.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1206711537151648e-13 | 7.502195570393583e-13 |
| 8.0ms | 88× | 0 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 653 to 364 computations (44.3% saved)
ival-hypot: 2.0ms (30.6% of total)ival-div: 1.0ms (15.3% of total)ival-mult: 1.0ms (15.3% of total)ival-sub: 1.0ms (15.3% of total)ival-cos: 1.0ms (15.3% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1206711537151648e-13 | 7.502195570393583e-13 |
Compiled 551 to 322 computations (41.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 13718535117475132.0 | 431210043181883000.0 |
| 9.0ms | 41× | 1 | valid |
| 7.0ms | 71× | 0 | valid |
Compiled 784 to 428 computations (45.4% saved)
ival-cos: 3.0ms (24.3% of total)adjust: 2.0ms (16.2% of total)ival-hypot: 2.0ms (16.2% of total)ival-mult: 2.0ms (16.2% of total)ival-add: 1.0ms (8.1% of total)ival-div: 1.0ms (8.1% of total)ival-sub: 1.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 13718535117475132.0 | 431210043181883000.0 |
Compiled 798 to 442 computations (44.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 13718535117475132.0 | 431210043181883000.0 |
| 41.0ms | 30× | 1 | valid |
| 5.0ms | 50× | 0 | valid |
Compiled 707 to 414 computations (41.4% saved)
ival-cos: 37.0ms (85.2% of total)ival-hypot: 2.0ms (4.6% of total)ival-add: 1.0ms (2.3% of total)ival-div: 1.0ms (2.3% of total)adjust: 1.0ms (2.3% of total)ival-sub: 1.0ms (2.3% of total)ival-mult: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 2.18552919857008e+153 | 7.1446115055915735e+158 |
| 14.0ms | -1.5911825373968844e-267 | -3.9138556440278096e-268 |
| 16.0ms | 185× | 0 | valid |
| 12.0ms | 55× | 1 | valid |
Compiled 1 688 to 985 computations (41.6% saved)
ival-hypot: 5.0ms (24.4% of total)ival-cos: 4.0ms (19.5% of total)ival-mult: 4.0ms (19.5% of total)ival-sub: 3.0ms (14.7% of total)ival-div: 2.0ms (9.8% of total)adjust: 2.0ms (9.8% of total)ival-add: 1.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.18552919857008e+153 | 7.1446115055915735e+158 |
| 25.0ms | -1.0994189880692633e-221 | -1.2352364198434935e-225 |
| 16.0ms | 111× | 0 | valid |
| 4.0ms | 17× | 1 | valid |
Compiled 1 892 to 1 097 computations (42% saved)
ival-mult: 8.0ms (51.4% of total)ival-hypot: 2.0ms (12.8% of total)ival-cos: 2.0ms (12.8% of total)ival-add: 1.0ms (6.4% of total)ival-div: 1.0ms (6.4% of total)adjust: 1.0ms (6.4% of total)ival-sub: 1.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.18552919857008e+153 | 7.1446115055915735e+158 |
Compiled 1 052 to 625 computations (40.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 3002070987379518.5 | 13718535117475132.0 |
| 24.0ms | 68× | 0 | valid |
| 6.0ms | 28× | 1 | valid |
Compiled 461 to 262 computations (43.2% saved)
ival-mult: 19.0ms (69.2% of total)ival-hypot: 2.0ms (7.3% of total)ival-cos: 2.0ms (7.3% of total)ival-add: 1.0ms (3.6% of total)ival-div: 1.0ms (3.6% of total)adjust: 1.0ms (3.6% of total)ival-sub: 1.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 1149 |
| 1 | 242 | 1140 |
| 2 | 554 | 1140 |
| 3 | 1359 | 1135 |
| 4 | 3395 | 1115 |
| 5 | 7645 | 1115 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 phi2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 290000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))) |
(if (<=.f64 phi2 #s(literal 290000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))) |
(if (<=.f64 phi2 #s(literal 155000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2))))) |
(if (<=.f64 lambda2 #s(literal -6505698974590301/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) (if (<=.f64 lambda2 #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))))) |
(if (<=.f64 lambda2 #s(literal -4063321295036161/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) (if (<=.f64 lambda2 #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))))) |
(if (<=.f64 lambda2 #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
(if (<=.f64 phi2 #s(literal 13500000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| Outputs |
|---|
(if (<=.f64 phi2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) #s(literal 0 binary64))) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 3713820117856141/4951760157141521099596496896 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 290000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))) |
(if (<=.f64 phi2 #s(literal 290000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) #s(approx (sqrt (+ (* (* (cos (* -1/2 phi2)) (- lambda1 lambda2)) (* (cos (* -1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) phi2))))) |
(if (<=.f64 phi2 #s(literal 155000000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* -1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2))))) |
(if (<=.f64 lambda2 #s(literal -6505698974590301/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (*.f64 (fma.f64 (/.f64 R phi1) #s(literal -1 binary64) (/.f64 R phi2)) phi2)))) (if (<=.f64 lambda2 #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))))) |
(if (<=.f64 lambda2 #s(literal -4063321295036161/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) #s(approx (+ (* (neg R) (/ phi2 phi1)) R) (/.f64 (fma.f64 (neg.f64 phi2) R (*.f64 phi1 R)) phi1)))) (if (<=.f64 lambda2 #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2))))) |
(if (<=.f64 lambda2 #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 #s(approx (cos (* -1/2 (+ phi2 phi1))) #s(approx (+ (* (* 1/2 phi2) (sin (* -1/2 phi1))) (cos (* 1/2 phi1))) (fma.f64 (*.f64 phi2 phi1) #s(literal -1/4 binary64) #s(literal 1 binary64)))) lambda2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (+ (* (neg R) (/ phi2 phi1)) R)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))) |
(if (<=.f64 phi2 #s(literal 13500000000000000 binary64)) (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 799 |
| 0 | 142 | 578 |
| 0 | 605 | 518 |
| 0 | 884 | 7902 |
| 1 | 3379 | 7666 |
| 0 | 8115 | 7088 |
| 0 | 1155 | 8445 |
| 1 | 4283 | 8375 |
| 0 | 8784 | 7704 |
| 0 | 58 | 525 |
| 0 | 90 | 414 |
| 1 | 318 | 414 |
| 0 | 2619 | 369 |
| 0 | 1256 | 9456 |
| 1 | 4686 | 9356 |
| 0 | 8135 | 8586 |
| 0 | 45 | 409 |
| 0 | 74 | 321 |
| 1 | 277 | 321 |
| 0 | 2486 | 281 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
Compiled 1 147 to 135 computations (88.2% saved)
(sort lambda1 lambda2)
(negabs R)
Compiled 3 182 to 608 computations (80.9% saved)
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