
Time bar (total: 8.9s)
| 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)
| 616.0ms | 6 546× | 0 | valid |
| 426.0ms | 1 710× | 1 | valid |
ival-hypot: 151.0ms (20.4% of total)ival-cos: 142.0ms (19.2% of total)ival-mult: 122.0ms (16.5% of total)ival-sub: 96.0ms (13% of total)ival-div: 78.0ms (10.6% of total)ival-add: 70.0ms (9.5% of total)adjust: 65.0ms (8.8% of total)ival-true: 6.0ms (0.8% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 183 | 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)))) |
| 74 | 123 | (-2.5296748656993193e+207 -2.1787355258904202e+300 -1.9849814964655248e-75 -2.3518020481937302e-91 -6.570469289839215e+249) | 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 | 197 | 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 | 183 | 0 |
| ↳ | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) | overflow | 120 | |
| ↳ | (*.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 | 116 | |
| ↳ | (+.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 | 183 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 117 | 0 |
| - | 107 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 117 | 0 | 0 |
| - | 107 | 0 | 32 |
| number | freq |
|---|---|
| 0 | 32 |
| 1 | 68 |
| 2 | 156 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 128.0ms | 378× | 1 | valid |
| 29.0ms | 134× | 0 | valid |
Compiled 501 to 72 computations (85.6% saved)
ival-mult: 37.0ms (33.2% of total)ival-cos: 25.0ms (22.4% of total)ival-hypot: 14.0ms (12.6% of total)adjust: 12.0ms (10.8% of total)ival-sub: 9.0ms (8.1% of total)ival-add: 8.0ms (7.2% of total)ival-div: 6.0ms (5.4% of total)ival-true: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 667 |
| 1 | 357 | 661 |
| 2 | 923 | 645 |
| 3 | 4473 | 645 |
| 4 | 7906 | 645 |
| 0 | 17 | 32 |
| 0 | 28 | 32 |
| 1 | 43 | 32 |
| 2 | 88 | 32 |
| 3 | 302 | 32 |
| 4 | 1046 | 32 |
| 5 | 3384 | 32 |
| 6 | 7323 | 32 |
| 0 | 8075 | 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 |
|---|---|---|
| ▶ | 56.8% | (*.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 | 43 | 155 |
| 2 | 88 | 155 |
| 3 | 302 | 155 |
| 4 | 1046 | 155 |
| 5 | 3384 | 155 |
| 6 | 7323 | 155 |
| 0 | 8075 | 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 lambda1 lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))) (-.f64 lambda1 lambda2)) (*.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 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal 2 binary64))))) |
(*.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 | 0.1640625 | (*.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 | 0.16796875 | (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) | |
| accuracy | 15.452275659048073 | (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) | |
| accuracy | 42.33654142483275 | (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)))) |
| 89.0ms | 189× | 1 | valid |
| 8.0ms | 67× | 0 | valid |
Compiled 312 to 36 computations (88.5% saved)
ival-cos: 26.0ms (41.8% of total)ival-mult: 12.0ms (19.3% of total)ival-hypot: 7.0ms (11.2% of total)adjust: 6.0ms (9.6% of total)ival-sub: 4.0ms (6.4% of total)ival-add: 4.0ms (6.4% of total)ival-div: 3.0ms (4.8% 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 | |
|---|---|---|---|---|
| 20.0ms | lambda1 | @ | 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)))) |
| 4.0ms | 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)))) |
| 4.0ms | 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)))) |
| 4.0ms | 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)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 884 | 7928 |
| 1 | 2974 | 7384 |
| 2 | 7948 | 7384 |
| 0 | 8115 | 6877 |
| 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) lambda1) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2)))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda1 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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))))) |
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) (-.f64 phi1 phi2)) R) (*.f64 (*.f64 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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)))) (* 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda1) (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda1 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) (-.f64 phi1 phi2)) R)) |
(* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda2 lambda1)) lambda1 (*.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(* lambda1 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1) |
(* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1))) 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)))) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)))) lambda1) |
(* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) |
(*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda2 lambda1)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda2 lambda1)) #s(literal -2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 lambda1 lambda1)) |
(* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R lambda2) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 R (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1)) lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda2 lambda1)) #s(literal -2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 lambda2 lambda2) (*.f64 lambda1 lambda1)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 lambda1 lambda1)) |
(* -1 (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(* -1 (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 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))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2)) 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))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) lambda1))) 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))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 lambda2 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (neg.f64 lambda1))) lambda1)) (*.f64 lambda1 lambda1)) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (neg.f64 (*.f64 R lambda1)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R (/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R)) lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))))) (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 (-.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda1) (*.f64 (*.f64 #s(literal 2 binary64) lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1)) (*.f64 lambda1 lambda1)) |
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1) (neg.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))))) lambda2 (*.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 R (*.f64 (neg.f64 (*.f64 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda2) (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) lambda1) (*.f64 (fma.f64 (neg.f64 (*.f64 lambda1 lambda1)) (/.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))))))) lambda2 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) lambda2) (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) lambda1 lambda2)) lambda2 (*.f64 (*.f64 lambda1 lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(* lambda2 (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2) |
(* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2))) 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (*.f64 lambda2 lambda2))) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))) 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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda1 lambda2)) #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 lambda1 lambda2)) #s(literal -2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 lambda1 lambda1) (*.f64 lambda2 lambda2)) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda2) lambda2) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 lambda2 lambda2)) |
(* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda2 lambda2)) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2) (neg.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) lambda2) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 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))))) |
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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 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(* -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) |
(+ (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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(+ (* (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))) |
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(+ (* 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))) |
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(* 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))))) |
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(+ (* 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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(* (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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) phi1)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.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 (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 (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)))) 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 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (fma.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)) (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)))))) phi1 (*.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)))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) phi1) (cos.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64)) (-.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 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi1) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1)) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi2 (pow.f64 phi1 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) phi1))) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) 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)))))) |
(*.f64 (+.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi1) phi1) (*.f64 (/.f64 phi2 phi1) (/.f64 phi2 phi1))) (fma.f64 (/.f64 phi2 phi1) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 phi1 phi1)) |
(* R phi1) |
(*.f64 R phi1) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) phi1) |
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(* (cos (* 1/2 (+ phi1 phi2))) (- lambda1 lambda2)) |
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(* -1 (* R phi1)) |
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(* R (sqrt (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))) |
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(+ (* 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 (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)) phi2) 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)))) (*.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))))))))))) |
(fma.f64 (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)))) (+.f64 (fma.f64 (/.f64 (pow.f64 (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)) #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 (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 (fma.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (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)) #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 (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 (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)) (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 -1/2 binary64) (*.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)))) phi2))))) phi2 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (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)) 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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.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 (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 (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)))) 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 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (fma.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)) (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))))) phi2 (*.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)))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) phi2) (cos.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 (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)) (- 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal -1/2 binary64)) (-.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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2)) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) phi2))) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) 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 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) phi2) (*.f64 (/.f64 phi1 phi2) (/.f64 phi1 phi2))) (fma.f64 (/.f64 phi1 phi2) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 phi2 phi2)) |
(* R phi2) |
(*.f64 R phi2) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 R (/.f64 (neg.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) phi2) (*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 R phi2)) (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R)) 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 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (fma.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 (pow.f64 phi2 #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) phi2) phi2)))) R)) phi2) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #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)) (neg.f64 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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 phi2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) phi2))) phi2)) (neg.f64 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)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) phi1 (/.f64 (fma.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 phi1 phi1)) (neg.f64 phi2))) phi2)) (*.f64 phi2 phi2)) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 phi2) R) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 R (/.f64 (neg.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 (-.f64 R (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 R phi2)) #s(literal -1/2 binary64) (*.f64 R phi1)) phi2)) (neg.f64 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))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 R phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 phi1 phi2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (neg.f64 phi2))) phi2)) (neg.f64 phi2)) |
(* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) |
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(* (cos (* 1/2 (- phi1 (* -1 phi2)))) (- lambda1 lambda2)) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 128 |
| 0 | 28 | 86 |
| 1 | 97 | 86 |
| 2 | 723 | 86 |
| 0 | 8951 | 76 |
| 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))) |
(*.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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 -1/2 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 -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #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 -1/2 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 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)) (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 4 binary64)))) (hypot.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))))) |
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 phi1 phi2))) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 phi1 phi2))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) (exp.f64 (log.f64 (-.f64 phi1 phi2)))) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) (-.f64 phi1 phi2)) |
(hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))) |
(hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (exp.f64 (log.f64 (-.f64 phi1 phi2)))) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (-.f64 phi1 phi2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
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(*.f64 R (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) |
(*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) R) |
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(+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) lambda1) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (neg.f64 lambda2)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 phi2 phi1))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) |
(+.f64 (*.f64 (*.f64 (*.f64 lambda1 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 lambda2 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (-.f64 lambda1 lambda2) lambda1)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (neg.f64 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (neg.f64 lambda2)) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) lambda1)) |
(+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) lambda1) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 lambda1 lambda2)) (neg.f64 lambda2))) |
(+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 lambda1 (-.f64 lambda1 lambda2))) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 lambda2 (-.f64 lambda2 lambda1)))) |
(+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 lambda1 lambda2) lambda1)) (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 lambda1 lambda2) (neg.f64 lambda2)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 phi2 phi1))))) |
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (*.f64 lambda1 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (*.f64 lambda2 (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (-.f64 lambda1 lambda2) lambda1))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (neg.f64 lambda2)))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (pow.f64 (+.f64 lambda2 lambda1) #s(literal -1 binary64))) |
(*.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 -1/2 binary64)))) (pow.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2)) (pow.f64 (+.f64 lambda2 lambda1) #s(literal -1 binary64))) |
(*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (pow.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 (+.f64 lambda2 lambda1) #s(literal -1 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) #s(literal -1 binary64)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))) (neg.f64 (+.f64 lambda2 lambda1))) |
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 lambda1 lambda2))) |
(/.f64 (-.f64 (*.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) (*.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))) (neg.f64 (+.f64 lambda2 lambda1))) |
(/.f64 (neg.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 -1/2 binary64))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))) (neg.f64 (+.f64 lambda2 lambda1))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))) |
(/.f64 (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1))) |
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2)) (+.f64 lambda2 lambda1)) |
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))) (fma.f64 lambda1 lambda1 (*.f64 (neg.f64 lambda2) (-.f64 (neg.f64 lambda2) lambda1)))) |
(/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (*.f64 (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (+.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (pow.f64 lambda2 #s(literal 3 binary64)))))) |
(/.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 lambda1 lambda2))) |
(fma.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) #s(literal -1 binary64)) lambda2 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) |
(fma.f64 #s(literal -1 binary64) (*.f64 lambda2 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(fma.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) |
(fma.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))) |
(fma.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1)) |
(+.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) lambda1) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (neg.f64 lambda2))) |
Compiled 28 789 to 2 785 computations (90.3% saved)
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 27 | 529 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 503 | 27 | 530 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R)) | |
| 40.6% | (*.f64 R (hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))))) | |
| 53.0% | (*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 21.2% | (*.f64 R (sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2))) #s(literal 2 binary64))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 55.1% | (*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 49.2% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (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))))) | |
| 24.2% | (*.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)))) | |
| 23.1% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1)))) | |
| ▶ | 75.7% | (*.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))) |
| 65.5% | (*.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))) | |
| 56.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2))) | |
| 50.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) | |
| 19.3% | (*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))))) | |
| 34.1% | (*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)))))) | |
| 18.7% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) | |
| 23.2% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2))) | |
| 16.8% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1))) | |
| 29.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) | |
| ▶ | 20.7% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) |
| 34.9% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2)) | |
| 57.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)) | |
| 23.2% | #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 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| 17.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| ▶ | 11.0% | #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
| ▶ | 53.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) |
| 20.4% | #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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) | |
| ▶ | 36.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
Compiled 2 272 to 1 256 computations (44.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 R) | |
| cost-diff | 0 | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) | |
| cost-diff | 4 | (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1) | |
| cost-diff | 7 | (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) | |
| cost-diff | 0 | (*.f64 R lambda2) | |
| cost-diff | 0 | (neg.f64 (*.f64 R lambda2)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) | |
| 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 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (-.f64 R (*.f64 R (/.f64 phi2 phi1))) | |
| 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) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) | |
| cost-diff | 5 | (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))) | |
| 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) 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 455 |
| 0 | 75 | 455 |
| 1 | 136 | 455 |
| 2 | 318 | 434 |
| 3 | 1016 | 432 |
| 4 | 3255 | 420 |
| 5 | 6614 | 416 |
| 0 | 8244 | 320 |
| 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) 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 |
#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) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) |
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))) |
(neg.f64 phi1) |
phi1 |
(-.f64 R (*.f64 R (/.f64 phi2 phi1))) |
R |
(*.f64 R (/.f64 phi2 phi1)) |
(/.f64 phi2 phi1) |
phi2 |
#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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 R lambda2)) |
(*.f64 R lambda2) |
R |
lambda2 |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/2 binary64) |
#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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1) |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(neg.f64 R) |
R |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/2 binary64) |
(/.f64 lambda2 lambda1) |
lambda2 |
lambda1 |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) |
| 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) 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 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) 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 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2) |
(hypot.f64 (*.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2) |
(*.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))) |
(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 |
#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) (-.f64 R (*.f64 R (/.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 phi2 phi1) R)) |
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))) |
(*.f64 (-.f64 phi2 phi1) R) |
(neg.f64 phi1) |
phi1 |
(-.f64 R (*.f64 R (/.f64 phi2 phi1))) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
R |
(*.f64 R (/.f64 phi2 phi1)) |
(*.f64 (/.f64 phi2 phi1) R) |
(/.f64 phi2 phi1) |
phi2 |
#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 (+.f64 phi2 phi1) #s(literal 1/2 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 (neg.f64 lambda2) R))) |
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (neg.f64 lambda2) R)) |
(neg.f64 (*.f64 R lambda2)) |
(*.f64 (neg.f64 lambda2) R) |
(*.f64 R lambda2) |
(*.f64 lambda2 R) |
R |
lambda2 |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/2 binary64) |
#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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) |
#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 R (-.f64 lambda1 lambda2)))) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 R (-.f64 lambda1 lambda2))) |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (fma.f64 (/.f64 lambda2 lambda1) (neg.f64 R) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(neg.f64 R) |
R |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) |
(*.f64 (/.f64 lambda2 lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/2 binary64) |
(/.f64 lambda2 lambda1) |
lambda2 |
lambda1 |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9371145565962715 | (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) | |
| accuracy | 4.656285484513021 | (*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1) | |
| accuracy | 15.452275659048073 | (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) | |
| accuracy | 49.70994607874079 | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) | |
| accuracy | 0.0 | (neg.f64 (*.f64 R lambda2)) | |
| accuracy | 0.2109375 | (*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) | |
| accuracy | 15.452275659048073 | (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) | |
| accuracy | 56.08384804972088 | #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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| accuracy | 0.0 | (neg.f64 phi1) | |
| accuracy | 6.405063473045355 | (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1)))) | |
| accuracy | 7.334803386377478 | (*.f64 R (/.f64 phi2 phi1)) | |
| accuracy | 25.402041048168872 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) | |
| accuracy | 0.0 | (*.f64 R phi2) | |
| accuracy | 40.74436689553628 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) | |
| accuracy | 0.0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) | |
| accuracy | 0.0546875 | (*.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 | 0.140625 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) | |
| accuracy | 22.082739798473376 | #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)) |
| 155.0ms | 189× | 1 | valid |
| 19.0ms | 67× | 0 | valid |
Compiled 853 to 87 computations (89.8% saved)
ival-cos: 43.0ms (36.4% of total)ival-mult: 30.0ms (25.4% of total)adjust: 10.0ms (8.5% of total)ival-hypot: 10.0ms (8.5% of total)ival-div: 9.0ms (7.6% of total)ival-add: 6.0ms (5.1% of total)ival-sub: 4.0ms (3.4% of total)ival-neg: 3.0ms (2.5% 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) 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)) |
#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) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) |
(neg.f64 phi1) |
(-.f64 R (*.f64 R (/.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 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 R lambda2)) |
(*.f64 R lambda2) |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1) |
#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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) |
(neg.f64 R) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(*.f64 R (/.f64 phi2 phi1)) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* R phi2) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(* R (- 1 (/ phi2 phi1))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* R lambda2)) |
(* R lambda2) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* R (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 R) |
(/ (* R phi2) phi1) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* R (+ 1 (* -1 (/ phi2 phi1)))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* -1 (* R (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) 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 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)))) |
(* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) |
(/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda1) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 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))))))))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 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 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 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 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))))))))) |
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))) |
(* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(* -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 (/ (* 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 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* 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 (* R phi1)) (* R phi2)) |
(* -1 phi1) |
(* -1 (/ (* R phi2) phi1)) |
(/ (- (* R phi1) (* R phi2)) phi1) |
(* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda2 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2)))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda2 (cos (* 1/2 phi2)))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) |
(+ (* lambda1 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))))))) |
(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 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))))))) |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
R |
(+ R (* -1 (/ (* R phi2) phi1))) |
(cos (* 1/2 (+ phi1 phi2))) |
(* -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 (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (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))))))))))) |
(- 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 (* -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 (* R (* lambda2 (cos (* 1/2 phi1))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/8 (* R (* lambda2 (* phi2 (cos (* 1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1)))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda2 (cos (* 1/2 phi1)))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) |
(+ (* lambda1 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))))))) |
1 |
(+ 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))) |
(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)))))) |
(* 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 (* 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)) |
(* phi2 (- (/ R phi2) (/ R phi1))) |
(* -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 (* 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 R) (/ (* R phi1) phi2)))) |
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1))))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | lambda1 | @ | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda2)) (cos (* (+ phi2 phi1) 1/2))) (neg (* R lambda2)) (* R lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg R) (cos (* 1/2 phi2)) (* R (/ phi2 phi1)) (cos (* (+ phi2 phi1) 1/2))) |
| 14.0ms | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda2)) (cos (* (+ phi2 phi1) 1/2))) (neg (* R lambda2)) (* R lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg R) (cos (* 1/2 phi2)) (* R (/ phi2 phi1)) (cos (* (+ phi2 phi1) 1/2))) |
| 6.0ms | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda2)) (cos (* (+ phi2 phi1) 1/2))) (neg (* R lambda2)) (* R lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg R) (cos (* 1/2 phi2)) (* R (/ phi2 phi1)) (cos (* (+ phi2 phi1) 1/2))) |
| 6.0ms | phi2 | @ | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda2)) (cos (* (+ phi2 phi1) 1/2))) (neg (* R lambda2)) (* R lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg R) (cos (* 1/2 phi2)) (* R (/ phi2 phi1)) (cos (* (+ phi2 phi1) 1/2))) |
| 5.0ms | R | @ | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* R phi2) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg phi1) (- R (* R (/ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg (* R lambda2)) (cos (* (+ phi2 phi1) 1/2))) (neg (* R lambda2)) (* R lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda2 lambda1))) (* (cos (* (+ phi2 phi1) 1/2)) R)) lambda1) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (neg R) (cos (* 1/2 phi2)) (* R (/ phi2 phi1)) (cos (* (+ phi2 phi1) 1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1154 | 9110 |
| 1 | 3912 | 8553 |
| 0 | 8330 | 7971 |
| 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 (/ phi2 phi1))))) |
(* R (- 1 (/ phi2 phi1))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(* -1 (* R lambda2)) |
(* R lambda2) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* R (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(* -1 R) |
(/ (* R phi2) phi1) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* R (+ 1 (* -1 (/ phi2 phi1)))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* -1 (* R (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) 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 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)))) |
(* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) |
(/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda1) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 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))))))))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ phi1 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 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 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 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))))))))) |
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))) |
(* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(* -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 (/ (* 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 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(* 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 (* R phi1)) (* R phi2)) |
(* -1 phi1) |
(* -1 (/ (* R phi2) phi1)) |
(/ (- (* R phi1) (* R phi2)) phi1) |
(* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/8 (* R (* lambda2 (* phi1 (cos (* 1/2 phi2)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2)))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda2 (cos (* 1/2 phi2)))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) |
(+ (* lambda1 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))))))) |
(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 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))))))) |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
R |
(+ R (* -1 (/ (* R phi2) phi1))) |
(cos (* 1/2 (+ phi1 phi2))) |
(* -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 (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (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))))))))))) |
(- 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 (* -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 (* R (* lambda2 (cos (* 1/2 phi1))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/8 (* R (* lambda2 (* phi2 (cos (* 1/2 phi1)))))) (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1)))))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda2 (cos (* 1/2 phi1)))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) |
(+ (* lambda1 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))))))) |
1 |
(+ 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))) |
(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)))))) |
(* 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 (* 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)) |
(* phi2 (- (/ R phi2) (/ R phi1))) |
(* -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 (* 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 R) (/ (* R phi1) phi2)))) |
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1))))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2))))))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* 1/2 (- phi1 (* -1 phi2))))))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
| 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 (/ phi2 phi1))))) |
(*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* R (- 1 (/ phi2 phi1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) |
(* -1 (* R lambda2)) |
(*.f64 (neg.f64 lambda2) R) |
(* R lambda2) |
(*.f64 lambda2 R) |
(* R (+ (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)))) R) |
(* R (* lambda1 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(*.f64 (*.f64 R 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 R) |
(neg.f64 R) |
(/ (* R phi2) phi1) |
(*.f64 R (/.f64 phi2 phi1)) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* R (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
(*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 R)) |
(* -1 (* R (* lambda1 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) lambda1))))) |
(*.f64 (neg.f64 (*.f64 R lambda1)) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
(* 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))))) |
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) (*.f64 (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 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) |
(+ (* 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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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))))))) (neg.f64 (*.f64 (*.f64 lambda2 R) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #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 (*.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))))))) lambda1) (*.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 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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 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)))))) lambda1) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) 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 (*.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))))))) lambda1) (*.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 (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 (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi2 phi2)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2)))) 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 (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 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2) (-.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) (*.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))))))) 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)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) |
(/.f64 (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) lambda1) |
(/ (+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) lambda1) |
(/.f64 (fma.f64 (*.f64 (neg.f64 lambda2) 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))))) lambda1) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(fma.f64 (*.f64 (neg.f64 lambda2) 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))))) |
(* 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 (*.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)))) 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 (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) |
(* 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (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 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (*.f64 lambda1 lambda1) (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) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)) (* R (cos (* 1/2 (+ 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)))) R) |
(* -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) (*.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)))) 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) (-.f64 (*.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))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (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))))) |
(*.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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)) lambda1))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1)) lambda1))) |
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))) |
(*.f64 (*.f64 (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 R)) lambda1) |
(* 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))))) |
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) (*.f64 (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 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) |
(+ (* 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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.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))))))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #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 (*.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))))))) lambda1) (*.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)) |
(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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 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)))))) lambda2) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)))) 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 (*.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))))))) lambda1) (*.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 (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 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 (*.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda1)))) 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 (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 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 2 binary64)) lambda2) (-.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)))))) lambda1) (*.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))))))) 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 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 R (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (*.f64 (/.f64 R (*.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 (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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (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 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda2 lambda2)))) (/.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 (+ (* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2) |
(* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))) lambda2) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(*.f64 (fma.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2) |
(* -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) (-.f64 (*.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))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))))) lambda2)) 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))))) |
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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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(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))) |
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(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (+ (* -1/2 (/ (pow phi2 2) (* lambda2 (cos (* 1/2 phi2))))) (* lambda1 (cos (* 1/2 phi2)))) lambda2))))) |
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(* -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))))) |
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(* -1 (* lambda2 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)))) |
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(* R (sqrt (+ (* (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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(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))))))))))) |
(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)))) (+.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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (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))) (*.f64 (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 (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (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))) (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 -1/2 binary64))) phi1)))) phi1 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (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)))))) phi1 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) phi2)) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) |
(* -1 phi1) |
(neg.f64 phi1) |
(* -1 (/ (* R phi2) phi1)) |
(*.f64 (neg.f64 R) (/.f64 phi2 phi1)) |
(/ (- (* R phi1) (* R phi2)) phi1) |
(/.f64 (*.f64 R (-.f64 phi1 phi2)) phi1) |
(* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) |
(*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* 1/2 (* R (* lambda2 (* phi1 (sin (* 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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(+ (* -1 (* 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 1/8 binary64) R) (*.f64 (*.f64 lambda2 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1/2 binary64))) phi1 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi2))))) (* phi1 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi2))))) (* phi1 (+ (* -1/48 (* R (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) (* 1/8 (* R (* lambda2 (cos (* 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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))))) |
(fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))))))) |
(fma.f64 R (/.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/2 binary64)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R))) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(fma.f64 (neg.f64 R) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/2 binary64)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) lambda1) |
(+ (* lambda1 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2)))))) |
(*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))) (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1))))))) |
(fma.f64 (*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) phi1 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) lambda1)) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1)) (* R (cos (* 1/2 phi2))))) (* phi1 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)))) (* phi1 (+ (* lambda1 (* phi1 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi2)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi2))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi2)))) lambda1))))))))) |
(fma.f64 (fma.f64 (*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) phi1 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda1)) phi1 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda1)) lambda1)) |
(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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(* R phi1) |
(*.f64 phi1 R) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.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 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R (*.f64 (*.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)))) #s(literal 1/2 binary64))) 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 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R (*.f64 #s(literal 1/2 binary64) (*.f64 R (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))))))) phi1) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(fma.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)) phi1 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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(* -1 (* R phi1)) |
(*.f64 (neg.f64 R) phi1) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1) |
R |
(+ R (* -1 (/ (* R phi2) phi1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R) |
(cos (* 1/2 (+ phi1 phi2))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R) (neg.f64 phi1)) |
(* -1 (* phi1 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2))) phi1)) (* R phi2)) phi1))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.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)) phi1))) #s(literal -1/2 binary64) (*.f64 phi2 R)) phi1)) (neg.f64 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))))) |
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(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
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(* -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 (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1))))))) |
(*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) |
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(*.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)))) R) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda1)) (* R (cos (* 1/2 (- phi2 (* -1 phi1))))))) |
(*.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)))) R) lambda1) |
(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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(+ (* 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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(- 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) (fma.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (/.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))) #s(literal -1/4 binary64))) (-.f64 lambda1 lambda2)) (/.f64 (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) (fma.f64 (*.f64 phi2 phi2) (/.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (*.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 (/.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))) #s(literal -1/4 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (*.f64 (/.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))) #s(literal -1/4 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 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal 1/384 binary64) (*.f64 phi2 phi2) #s(literal -1/8 binary64))) (*.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 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi2 phi2) #s(literal 1/384 binary64))) (*.f64 phi2 phi2) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2) lambda1) lambda2) |
(* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) |
(*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* 1/2 (* R (* lambda2 (* phi2 (sin (* 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 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* -1 (* 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 1/8 binary64) R) (*.f64 (*.f64 lambda2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1/2 binary64))) phi2 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 phi1))))) (* phi2 (+ (* 1/2 (* R (* lambda2 (sin (* 1/2 phi1))))) (* phi2 (+ (* -1/48 (* R (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) (* 1/8 (* R (* lambda2 (cos (* 1/2 phi1)))))))))) |
(fma.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)) R (*.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)) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)) (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))))))) |
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(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(fma.f64 (neg.f64 R) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) lambda1) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal 1/8 binary64)))) phi2 (*.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal 1/2 binary64)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R))) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)) lambda1) |
(+ (* lambda1 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1)))))) |
(*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)))) |
(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))) (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1))))))) |
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(+ (* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1)) (* R (cos (* 1/2 phi1))))) (* phi2 (+ (* lambda1 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)))) (* phi2 (+ (* lambda1 (* phi2 (+ (* -1/48 (/ (* R (* lambda2 (sin (* 1/2 phi1)))) lambda1)) (* 1/48 (* R (sin (* 1/2 phi1))))))) (* lambda1 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda2 (cos (* 1/2 phi1)))) lambda1))))))))) |
(fma.f64 (fma.f64 (*.f64 lambda1 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 lambda2 R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1)) phi2 (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda1)) lambda1)) |
1 |
#s(literal 1 binary64) |
(+ 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 (fma.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 (fma.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)) |
(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 (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))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) 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 (*.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)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 R) phi1) phi2)) R) 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) (*.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))))))) R) phi2) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(fma.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)) phi2 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))))))) |
(fma.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)) 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)))))) |
(fma.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))) phi2 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))))))) |
(fma.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)))) phi2 phi2) |
(* (cos (* 1/2 phi2)) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(* phi2 (- (/ R phi2) (/ R phi1))) |
(*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 phi2) R) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (*.f64 phi1 R) phi2))) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.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)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2)) (neg.f64 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))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 phi1 R (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.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 phi1 (*.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)) phi2)))))) phi2))) phi2)) (neg.f64 phi2)) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.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)) phi2)) #s(literal -1/2 binary64) phi1) phi2)) (neg.f64 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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.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)) phi2)) (*.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))))) phi2)) phi2)) (neg.f64 phi2)) |
(* -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))))))) |
(neg.f64 (fma.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))) phi2 phi2)) |
(* -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)))))))) |
(neg.f64 (fma.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)))) phi2 phi2)) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) (neg.f64 phi2)) |
(* -1 (* phi2 (- (* -1 (/ R phi2)) (* -1 (/ R phi1))))) |
(*.f64 (fma.f64 (/.f64 R phi2) #s(literal -1 binary64) (/.f64 R phi1)) (neg.f64 phi2)) |
(* -1 (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2))))))) |
(*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) R) |
(+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* 1/2 (- phi1 (* -1 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)))) R) |
(* lambda1 (+ (* -1 (/ (* R (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda1)) (* R (cos (* 1/2 (- phi1 (* -1 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)))) R) lambda1) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 382 |
| 0 | 75 | 316 |
| 1 | 251 | 316 |
| 2 | 1799 | 316 |
| 0 | 9005 | 286 |
| 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) 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)) |
#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) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) |
(neg.f64 phi1) |
(-.f64 R (*.f64 R (/.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 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 R lambda2)) |
(*.f64 R lambda2) |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1) |
#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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda1)) |
(neg.f64 R) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(*.f64 R (/.f64 phi2 phi1)) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
| 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) phi2))) 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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2))) |
#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) phi2))) phi2)) |
(*.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 phi2 phi2) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 phi2 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 phi2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (-.f64 (pow.f64 phi2 #s(literal 4 binary64)) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 4 binary64))) (+.f64 (pow.f64 phi2 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 6 binary64)))))) |
(sqrt.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) |
(hypot.f64 (exp.f64 (log.f64 phi2)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(hypot.f64 (exp.f64 (log.f64 phi2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (exp.f64 (log.f64 phi2))) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) (neg.f64 phi2)) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2) |
(hypot.f64 (neg.f64 phi2) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(hypot.f64 (neg.f64 phi2) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (exp.f64 (log.f64 phi2))) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 phi2)) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) phi2) |
(hypot.f64 phi2 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
(hypot.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (-.f64 (*.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (neg.f64 (+.f64 lambda2 lambda1))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (neg.f64 (+.f64 lambda2 lambda1))) |
(/.f64 (neg.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))))) (neg.f64 (fma.f64 lambda2 (+.f64 lambda2 lambda1) (*.f64 lambda1 lambda1)))) |
(/.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2))) |
(fma.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (neg.f64 lambda2))) |
#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 (/.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (neg.f64 phi1) R)) |
(*.f64 (/.f64 (neg.f64 phi1) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) R)) |
(*.f64 (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) #s(literal -1 binary64)) phi1) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1)) |
(*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) (neg.f64 phi1)) |
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) |
(*.f64 phi1 (neg.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 R (neg.f64 phi1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1)) #s(literal 3 binary64))) (fma.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (neg.f64 phi1)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1)) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1))) (*.f64 (*.f64 R (neg.f64 phi1)) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 phi1) R) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (neg.f64 phi1) R) (-.f64 (*.f64 (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))) (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1)))) (*.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (neg.f64 phi1))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (neg.f64 phi1))) (neg.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 phi1) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 phi1) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))) |
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (neg.f64 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (neg.f64 phi1)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) |
(/.f64 (*.f64 (neg.f64 phi1) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (*.f64 (neg.f64 phi1) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) |
(neg.f64 (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1)) |
(fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.f64 phi2 phi1)))) |
(fma.f64 R (neg.f64 phi1) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1)) |
(+.f64 (*.f64 R (neg.f64 phi1)) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) (neg.f64 phi1))) |
(+.f64 (*.f64 (neg.f64 phi1) R) (*.f64 (neg.f64 phi1) (*.f64 (neg.f64 R) (/.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 (*.f64 (/.f64 phi2 phi1) R)) (neg.f64 phi1))) |
(*.f64 #s(literal -1 binary64) phi1) |
(*.f64 phi1 #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 phi1) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 phi1) (neg.f64 phi1)) (*.f64 #s(literal 0 binary64) (neg.f64 phi1))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 phi1 phi1))) (neg.f64 (+.f64 #s(literal 0 binary64) phi1))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 phi1 #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 phi1 phi1 (*.f64 #s(literal 0 binary64) phi1))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) (+.f64 #s(literal 0 binary64) phi1)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 phi1 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 phi1 phi1 (*.f64 #s(literal 0 binary64) phi1)))) |
(neg.f64 phi1) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) phi1)) (/.f64 (*.f64 phi1 phi1) (+.f64 #s(literal 0 binary64) phi1))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 phi1 phi1 (*.f64 #s(literal 0 binary64) phi1)))) (/.f64 (pow.f64 phi1 #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 phi1 phi1 (*.f64 #s(literal 0 binary64) phi1))))) |
(-.f64 #s(literal 0 binary64) phi1) |
(+.f64 #s(literal 0 binary64) (neg.f64 phi1)) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)) |
(*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)) (pow.f64 R #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (-.f64 (*.f64 R R) (*.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) R)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))))) |
(/.f64 (-.f64 (*.f64 (*.f64 R R) (fma.f64 (/.f64 phi2 phi1) R R)) (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (-.f64 (*.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) (*.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (neg.f64 (-.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (neg.f64 (fma.f64 R R (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))) |
(/.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (-.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1)))) |
(/.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (fma.f64 R R (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1)))))) |
(/.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) |
(fma.f64 (/.f64 (neg.f64 R) #s(literal -1 binary64)) (/.f64 (neg.f64 phi2) phi1) R) |
(fma.f64 (/.f64 (neg.f64 R) phi1) (/.f64 #s(literal 1 binary64) (pow.f64 phi2 #s(literal -1 binary64))) R) |
(fma.f64 (/.f64 (neg.f64 R) phi1) (/.f64 (neg.f64 phi2) #s(literal -1 binary64)) R) |
(fma.f64 (/.f64 R #s(literal -1 binary64)) (/.f64 phi2 phi1) R) |
(fma.f64 (/.f64 #s(literal -1 binary64) phi1) (/.f64 R (pow.f64 phi2 #s(literal -1 binary64))) R) |
(fma.f64 (/.f64 phi2 #s(literal -1 binary64)) (/.f64 R phi1) R) |
(fma.f64 (/.f64 R phi1) (/.f64 #s(literal -1 binary64) (pow.f64 phi2 #s(literal -1 binary64))) R) |
(fma.f64 (/.f64 R phi1) (/.f64 phi2 #s(literal -1 binary64)) R) |
(fma.f64 (*.f64 (neg.f64 R) phi2) (pow.f64 phi1 #s(literal -1 binary64)) R) |
(fma.f64 (neg.f64 (/.f64 phi2 phi1)) R R) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 phi2 phi1) R) R) |
(fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) |
(fma.f64 (/.f64 phi2 phi1) (/.f64 R #s(literal -1 binary64)) R) |
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) |
(fma.f64 R (neg.f64 (/.f64 phi2 phi1)) R) |
(-.f64 (/.f64 (*.f64 R R) (-.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1)))) (/.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (-.f64 R (*.f64 (neg.f64 R) (/.f64 phi2 phi1))))) |
(-.f64 (/.f64 (*.f64 R R) (fma.f64 (/.f64 phi2 phi1) R R)) (/.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(-.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) (/.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(+.f64 (*.f64 (neg.f64 R) (/.f64 phi2 phi1)) R) |
(+.f64 R (*.f64 (neg.f64 R) (/.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 -2 binary64))) (*.f64 (neg.f64 lambda2) R))) |
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 lambda2 R)) |
(*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) lambda2) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 lambda2 R))) |
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (neg.f64 lambda2)) |
(*.f64 (neg.f64 R) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) lambda2)) |
(*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 lambda2) R)) |
(*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) |
(*.f64 (*.f64 lambda2 R) (neg.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(*.f64 R (*.f64 (neg.f64 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 lambda2 R))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 lambda2 R))) |
(*.f64 #s(literal -1 binary64) (*.f64 lambda2 R)) |
(*.f64 (neg.f64 lambda2) R) |
(*.f64 (neg.f64 R) lambda2) |
(*.f64 (*.f64 lambda2 R) #s(literal -1 binary64)) |
(*.f64 lambda2 (neg.f64 R)) |
(*.f64 R (neg.f64 lambda2)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 lambda2) R) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (*.f64 (neg.f64 lambda2) R)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 lambda2) R))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 lambda2 R)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 lambda2 R) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 lambda2 R)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 lambda2 R))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 lambda2 R) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 lambda2 R))))) |
(neg.f64 (*.f64 lambda2 R)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 lambda2 R))) (/.f64 (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 lambda2 R)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 lambda2 R))))) (/.f64 (pow.f64 (*.f64 lambda2 R) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 lambda2 R) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 lambda2 R)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 lambda2 R)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 lambda2) R)) |
(*.f64 lambda2 R) |
(*.f64 R lambda2) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) |
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(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))))) |
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(fma.f64 (/.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 (neg.f64 lambda2) lambda1) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (/.f64 #s(literal -1 binary64) lambda1) (/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (pow.f64 lambda2 #s(literal -1 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (/.f64 (neg.f64 R) lambda1) (/.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (pow.f64 lambda2 #s(literal -1 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (/.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) lambda1) (/.f64 (neg.f64 R) (pow.f64 lambda2 #s(literal -1 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 lambda2) R)) (pow.f64 lambda1 #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal -1 binary64)) R (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
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(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (/.f64 lambda2 lambda1) (neg.f64 R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) |
(fma.f64 R (neg.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 R (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)))) (/.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda1) |
(*.f64 lambda1 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1)) (*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) #s(literal 3 binary64)) (pow.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (-.f64 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) (*.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal 3 binary64)) (pow.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) #s(literal 3 binary64))) (fma.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (-.f64 (*.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)))) (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1)) (neg.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) lambda1)) (neg.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 lambda1 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 lambda1 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) lambda1) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 lambda1 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)))) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 lambda1 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1)) |
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1)) |
(fma.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) |
(fma.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1) (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1)) |
(+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) lambda1) (*.f64 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) lambda1)) |
(+.f64 (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) |
(+.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 lambda1 (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 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 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda1)) |
(*.f64 #s(literal -1 binary64) R) |
(*.f64 R #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 R) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 R R) (*.f64 #s(literal 0 binary64) (neg.f64 R))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 R R))) (neg.f64 (+.f64 #s(literal 0 binary64) R))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 R #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 R R)) (+.f64 #s(literal 0 binary64) R)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 R #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R)))) |
(neg.f64 R) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) R)) (/.f64 (*.f64 R R) (+.f64 #s(literal 0 binary64) R))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R)))) (/.f64 (pow.f64 R #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R))))) |
(-.f64 #s(literal 0 binary64) R) |
(+.f64 #s(literal 0 binary64) (neg.f64 R)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) |
(*.f64 (/.f64 R #s(literal -1 binary64)) (/.f64 (neg.f64 phi2) phi1)) |
(*.f64 (/.f64 R phi1) (/.f64 #s(literal 1 binary64) (pow.f64 phi2 #s(literal -1 binary64)))) |
(*.f64 (/.f64 R phi1) (/.f64 (neg.f64 phi2) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 phi2) #s(literal -1 binary64)) (/.f64 R phi1)) |
(*.f64 (/.f64 (neg.f64 phi2) phi1) (/.f64 R #s(literal -1 binary64))) |
(*.f64 (pow.f64 phi1 #s(literal -1 binary64)) (/.f64 R (pow.f64 phi2 #s(literal -1 binary64)))) |
(*.f64 (/.f64 phi2 phi1) R) |
(*.f64 (*.f64 phi2 R) (pow.f64 phi1 #s(literal -1 binary64))) |
(*.f64 phi2 (/.f64 R phi1)) |
(*.f64 phi2 (*.f64 (pow.f64 phi1 #s(literal -1 binary64)) R)) |
(*.f64 R (/.f64 phi2 phi1)) |
(pow.f64 (/.f64 phi1 (*.f64 phi2 R)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) R)) (neg.f64 (/.f64 phi1 phi2))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 phi2) R)) (neg.f64 (neg.f64 phi1))) |
(/.f64 (neg.f64 (*.f64 R #s(literal 1 binary64))) (neg.f64 (/.f64 phi1 phi2))) |
(/.f64 (neg.f64 (*.f64 R (neg.f64 phi2))) (neg.f64 (neg.f64 phi1))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 phi2 R))) (neg.f64 (neg.f64 phi1))) |
(/.f64 (*.f64 #s(literal 1 binary64) R) (/.f64 phi1 phi2)) |
(/.f64 (*.f64 (neg.f64 phi2) R) (neg.f64 phi1)) |
(/.f64 (*.f64 R #s(literal 1 binary64)) (/.f64 phi1 phi2)) |
(/.f64 (*.f64 R (neg.f64 phi2)) (neg.f64 phi1)) |
(/.f64 (neg.f64 (*.f64 phi2 R)) (neg.f64 phi1)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 phi1 (*.f64 phi2 R)))) |
(/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))) |
(/.f64 (neg.f64 R) (neg.f64 (/.f64 phi1 phi2))) |
(/.f64 (*.f64 phi2 R) phi1) |
(/.f64 R (/.f64 phi1 phi2)) |
(-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))))) |
(-.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)))) |
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
Compiled 35 048 to 2 610 computations (92.6% saved)
44 alts after pruning (42 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 26 | 506 |
| Fresh | 6 | 16 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 489 | 44 | 533 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R)) | |
| 40.6% | (*.f64 R (hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))))) | |
| 53.0% | (*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 55.1% | (*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 24.2% | (*.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)))) | |
| 23.1% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1)))) | |
| 59.3% | (*.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 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2))) | |
| ✓ | 75.7% | (*.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))) |
| 65.5% | (*.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))) | |
| ▶ | 68.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))) |
| 24.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2))) | |
| 19.3% | (*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))))) | |
| ▶ | 11.0% | (*.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)))))) |
| 18.7% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) | |
| 23.2% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2))) | |
| 16.8% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1))) | |
| ▶ | 29.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| 48.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) | |
| 58.1% | (*.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)))) | |
| 37.2% | (*.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) (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))))))) | |
| 20.2% | (*.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)))))) | |
| 23.8% | (*.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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)))) | |
| 12.5% | (*.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)))) | |
| 13.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) | |
| 21.2% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1)) | |
| 34.9% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2)) | |
| 57.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)) | |
| 6.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1)) | |
| 11.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) lambda2)) | |
| 17.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| 12.3% | #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)) (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) | |
| 9.2% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) | |
| 13.0% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) | |
| 8.5% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) | |
| 6.7% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) | |
| 58.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1))))) | |
| ▶ | 48.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
| 57.3% | #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 (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))) | |
| ▶ | 20.4% | #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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) |
| ✓ | 36.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| 58.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) | |
| 53.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) | |
| 49.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
Compiled 4 377 to 2 327 computations (46.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 lambda2) | |
| 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 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) | |
| cost-diff | 5 | (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) | |
| cost-diff | 7 | (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) | |
| cost-diff | 0 | (neg.f64 lambda2) | |
| cost-diff | 0 | (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) | |
| cost-diff | 0 | #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))))) | |
| 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 (neg.f64 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 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| cost-diff | 1 | (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) | |
| cost-diff | 4 | (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) | |
| cost-diff | 11 | (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) | |
| 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 | (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) | |
| cost-diff | 0 | (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 613 |
| 0 | 89 | 587 |
| 1 | 179 | 581 |
| 2 | 432 | 554 |
| 3 | 1719 | 530 |
| 4 | 6296 | 520 |
| 0 | 8128 | 392 |
| 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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)) |
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2) |
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) |
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
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))) |
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 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) |
(neg.f64 phi1) |
phi1 |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(fma.f64 (/.f64 phi2 phi1) R R) |
(/.f64 phi2 phi1) |
phi2 |
R |
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(*.f64 (/.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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
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))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(neg.f64 lambda2) |
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 |
#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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) |
(neg.f64 lambda2) |
lambda2 |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(neg.f64 R) |
R |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/2 binary64) |
(/.f64 lambda1 lambda2) |
lambda1 |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) |
| 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 phi2)) #s(literal 1 binary64)) (-.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 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) 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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2)) |
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2) |
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) |
(*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) |
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 lambda1 lambda2) |
lambda1 |
lambda2 |
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))) |
(*.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 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) phi1 (neg.f64 phi1)) R)) |
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) phi1 (neg.f64 phi1)) R) |
(neg.f64 phi1) |
phi1 |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
R |
(fma.f64 (/.f64 phi2 phi1) R R) |
(/.f64 phi2 phi1) |
phi2 |
R |
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(*.f64 (/.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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
(*.f64 #s(approx (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))) (neg.f64 lambda2))) R) |
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 (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))) (neg.f64 lambda2))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (neg.f64 lambda2)) |
(neg.f64 lambda2) |
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 |
#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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2)))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) |
(*.f64 R (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (-.f64 lambda1 lambda2))) |
(neg.f64 lambda2) |
lambda2 |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (fma.f64 (/.f64 lambda1 lambda2) (neg.f64 R) R) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(neg.f64 R) |
R |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) |
(*.f64 (/.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64)) |
(+.f64 phi2 phi1) |
phi2 |
phi1 |
#s(literal 1/2 binary64) |
(/.f64 lambda1 lambda2) |
lambda1 |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.443525806965776 | (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) | |
| accuracy | 2.7151892831629367 | (*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) | |
| accuracy | 15.452275659048073 | (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) | |
| accuracy | 49.70994607874079 | #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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) | |
| accuracy | 0.0546875 | (*.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)))))) | |
| accuracy | 0.21484375 | (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) | |
| accuracy | 15.452275659048073 | (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) | |
| accuracy | 58.373350976028775 | #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))))) | |
| accuracy | 6.405063473045355 | (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) | |
| accuracy | 7.334803386377478 | (*.f64 (/.f64 phi2 phi1) R) | |
| accuracy | 17.04894916681004 | (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) | |
| accuracy | 25.402041048168872 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| accuracy | 0.0 | (neg.f64 phi1) | |
| accuracy | 0.0546875 | (*.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 | 48.46547726546921 | #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1)) | |
| accuracy | 0.0546875 | (*.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 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))) | |
| accuracy | 0.140625 | (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) | |
| accuracy | 22.082739798473376 | #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 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)) | |
| accuracy | 32.63082366353821 | #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) |
| 177.0ms | 190× | 1 | valid |
| 24.0ms | 66× | 0 | valid |
Compiled 1 137 to 103 computations (90.9% saved)
ival-cos: 38.0ms (29.5% of total)ival-mult: 37.0ms (28.7% of total)adjust: 13.0ms (10.1% of total)ival-div: 13.0ms (10.1% of total)ival-hypot: 10.0ms (7.8% of total)ival-add: 9.0ms (7% of total)ival-sub: 4.0ms (3.1% of total)ival-neg: 3.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)) |
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2) |
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 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))) |
#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 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
(*.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 (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))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(neg.f64 lambda2) |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) |
#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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) |
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) |
(*.f64 (/.f64 phi2 phi1) R) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
R |
(- 1 (/ phi2 phi1)) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))) |
(/ (* R phi2) phi1) |
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1)))) |
(+ 1 (* -1 (/ phi2 phi1))) |
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* 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)))))))))) |
(* -1 (* lambda2 (cos (* 1/2 phi2)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2)))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 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))))))))) |
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) |
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) 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 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)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 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 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)))))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 lambda2) |
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2) |
(* 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))))))))) |
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(* -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 (/ (* 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 (/ (* 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))))))))))) |
(* -1 phi1) |
(* -1 (/ phi2 phi1)) |
(/ (+ phi1 (* -1 phi2)) phi1) |
(* R phi2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* 1/2 (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/8 (* lambda2 (* phi1 (cos (* 1/2 phi2))))) (* 1/2 (* lambda2 (sin (* 1/2 phi2))))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi2)))) (* phi1 (+ (* -1/48 (* lambda2 (* phi1 (sin (* 1/2 phi2))))) (* 1/8 (* lambda2 (cos (* 1/2 phi2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) |
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))) |
(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 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))))))) |
1 |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(cos (* 1/2 (+ phi1 phi2))) |
(* -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 (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (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))))))))))) |
(- 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 (* -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 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R)))) |
(* -1 (* lambda2 (cos (* 1/2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* 1/2 (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/8 (* lambda2 (* phi2 (cos (* 1/2 phi1))))) (* 1/2 (* lambda2 (sin (* 1/2 phi1))))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/48 (* lambda2 (* phi2 (sin (* 1/2 phi1))))) (* 1/8 (* lambda2 (cos (* 1/2 phi1))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) |
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) 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))) |
(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)))))) |
(* 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 (* 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)) |
(* phi2 (- (/ 1 phi2) (/ 1 phi1))) |
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3)))))) |
(* -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 (* 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 phi1) (/ 1 phi2)))) |
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2))))) |
(* -1 (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | R | @ | -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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* 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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (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 lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2))) |
| 7.0ms | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* 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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (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 lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2))) |
| 7.0ms | R | @ | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* 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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (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 lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2))) |
| 6.0ms | phi2 | @ | 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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* 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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (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 lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2))) |
| 6.0ms | phi2 | @ | -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 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) (* phi2 phi2))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* 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) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R) (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (* R (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 lambda2) (cos (* 1/2 (+ phi2 phi1)))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cos (* 1/2 phi2)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (cos (* (+ phi2 phi1) 1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1235 | 9473 |
| 1 | 4220 | 9178 |
| 0 | 8206 | 8578 |
| 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 |
(- 1 (/ phi2 phi1)) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))) |
(/ (* R phi2) phi1) |
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1)))) |
(+ 1 (* -1 (/ phi2 phi1))) |
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* 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)))))))))) |
(* -1 (* lambda2 (cos (* 1/2 phi2)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* lambda1 (cos (* 1/2 phi2)))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 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))))))))) |
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) |
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) 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 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)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 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 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)))))))))) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(* -1 lambda2) |
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2) |
(* 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))))))))) |
(* lambda2 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(* -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 (/ (* 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 (/ (* 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))))))))))) |
(* -1 phi1) |
(* -1 (/ phi2 phi1)) |
(/ (+ phi1 (* -1 phi2)) phi1) |
(* R phi2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* 1/2 (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/8 (* lambda2 (* phi1 (cos (* 1/2 phi2))))) (* 1/2 (* lambda2 (sin (* 1/2 phi2))))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* phi1 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi2)))) (* phi1 (+ (* -1/48 (* lambda2 (* phi1 (sin (* 1/2 phi2))))) (* 1/8 (* lambda2 (cos (* 1/2 phi2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) |
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))) |
(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 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))))))) |
1 |
(* -1 (* R phi1)) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(cos (* 1/2 (+ phi1 phi2))) |
(* -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 (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (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))))))))))) |
(- 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 (* -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 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R)))) |
(* -1 (* lambda2 (cos (* 1/2 phi1)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* 1/2 (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/8 (* lambda2 (* phi2 (cos (* 1/2 phi1))))) (* 1/2 (* lambda2 (sin (* 1/2 phi1))))))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/48 (* lambda2 (* phi2 (sin (* 1/2 phi1))))) (* 1/8 (* lambda2 (cos (* 1/2 phi1))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) |
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) 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))) |
(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)))))) |
(* 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 (* 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)) |
(* phi2 (- (/ 1 phi2) (/ 1 phi1))) |
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3)))))) |
(* -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 (* 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 phi1) (/ 1 phi2)))) |
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2))))) |
(* -1 (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
| 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 |
(- 1 (/ phi2 phi1)) |
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(*.f64 (neg.f64 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1)) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))) R) |
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))) |
(*.f64 (neg.f64 R) (*.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))) lambda2)) |
(/ (* R phi2) phi1) |
(*.f64 R (/.f64 phi2 phi1)) |
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) R)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ phi2 phi1))) |
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(/.f64 (*.f64 (*.f64 phi1 R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (neg.f64 R) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (*.f64 R lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
(* 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))))) |
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) R) (*.f64 (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 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) |
(+ (* 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 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)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))) |
(-.f64 (*.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)))) lambda2)) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(neg.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(fma.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
(* 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 (-.f64 (*.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)))) 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 (-.f64 (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)) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) 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 (-.f64 (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))) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1)) 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 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda1 lambda1) (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 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 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (*.f64 lambda1 lambda1) (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) |
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) |
(/.f64 (neg.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) lambda2) |
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1))) |
(*.f64 (fma.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (/.f64 (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda1) |
(* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(neg.f64 (*.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) (-.f64 (*.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)))) 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) (-.f64 (*.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))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 R lambda2) lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.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))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) 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))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 lambda1) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) lambda1)) lambda1))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda2 lambda1) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda1)) lambda1))) |
(* -1 (* lambda1 (+ (* -1 (cos (* 1/2 phi2))) (/ (* lambda2 (cos (* 1/2 phi2))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 lambda2 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (/.f64 (*.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1))) |
(* 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))))) |
(-.f64 (*.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (-.f64 phi1 phi2)) R) (*.f64 (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 (*.f64 R lambda1) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) |
(+ (* 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))))))) |
(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 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)) |
(* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(* -1 lambda2) |
(neg.f64 lambda2) |
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2) |
(/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (neg.f64 (*.f64 (*.f64 R lambda1) (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 (-.f64 (*.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)))) 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 (-.f64 (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)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) 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 (-.f64 (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))) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) 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 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 (*.f64 lambda2 lambda2) (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 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 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (*.f64 (*.f64 lambda2 lambda2) (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 (+ (* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(*.f64 (fma.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda2)) lambda2) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (*.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)))) 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) (-.f64 (*.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))))) 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (-.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 R lambda1) lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) lambda2)) lambda2))) |
(* -1 (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) 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))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 lambda2) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) lambda2)) lambda2))) |
(* -1 (* lambda2 (+ (cos (* 1/2 phi2)) (* -1 (/ (* lambda1 (cos (* 1/2 phi2))) lambda2))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (*.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda1) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 lambda1 lambda2) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (/.f64 (*.f64 phi2 phi2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda2)) lambda2))) |
(* 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 phi1 R) (fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.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))))))))) |
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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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(sqrt (+ (* (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 phi1) |
(neg.f64 phi1) |
(* -1 (/ phi2 phi1)) |
(/.f64 (neg.f64 phi2) phi1) |
(/ (+ phi1 (* -1 phi2)) phi1) |
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(* R phi2) |
(*.f64 phi2 R) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi2)))) (* 1/2 (* lambda2 (* phi1 (sin (* 1/2 phi2)))))) |
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(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))) |
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(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64)))) phi1 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64)))) phi1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))) |
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))) |
(neg.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1) lambda2 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)) lambda2))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi1) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2))) phi1 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2)))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi1) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) lambda2))) phi1 (*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) phi1 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (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 phi1) |
(*.f64 phi1 R) |
(* phi1 (+ R (* -1 (/ (* R phi2) phi1)))) |
(*.f64 (-.f64 R (*.f64 R (/.f64 phi2 phi1))) 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 (*.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)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 R) phi2) phi1)) R) 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 #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))))) (/.f64 (*.f64 (neg.f64 R) phi2) phi1)) R) phi1) |
phi1 |
(* phi1 (+ 1 (* -1 (/ phi2 phi1)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(fma.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)) phi1 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))))))) |
(fma.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)) phi1 phi1) |
1 |
#s(literal 1 binary64) |
(* -1 (* R phi1)) |
(*.f64 (neg.f64 R) phi1) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1) |
(cos (* 1/2 (+ phi1 phi2))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(*.f64 (neg.f64 phi1) (-.f64 R (*.f64 R (/.f64 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))))) |
(*.f64 (neg.f64 phi1) (-.f64 R (/.f64 (fma.f64 (*.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)) phi1))) #s(literal -1/2 binary64) (*.f64 phi2 R)) 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))))) |
(*.f64 (neg.f64 phi1) (-.f64 R (/.f64 (-.f64 (*.f64 phi2 R) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 phi2 R) (*.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)))) phi1))) phi1)) phi1))) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* -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) (-.f64 #s(literal 1 binary64) (/.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)) phi1)) #s(literal -1/2 binary64) phi2) 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))))) |
(*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi2 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.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 (*.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)) phi1))))) phi1)) phi1))) |
(* -1 (* lambda2 (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(-.f64 (*.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)))) lambda2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (*.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)))) lambda2))) |
(cos (* 1/2 (- phi2 (* -1 phi1)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(* 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.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))))))))) |
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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 (* (+ (* -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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(- 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) (fma.f64 (*.f64 phi2 phi2) (/.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 lambda1 lambda2)) (/.f64 (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) (fma.f64 (*.f64 phi2 phi2) (/.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 lambda1 lambda2)) (/.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 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 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R)))) |
(neg.f64 (fma.f64 phi1 R (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) phi1) R) R) phi2))) |
(* -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)))) (* 1/2 (* lambda2 (* phi2 (sin (* 1/2 phi1)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) lambda2) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) phi2) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* -1 (* 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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* -1 (* lambda2 (cos (* 1/2 phi1)))) (* phi2 (+ (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* phi2 (+ (* -1/48 (* lambda2 (* phi2 (sin (* 1/2 phi1))))) (* 1/8 (* lambda2 (cos (* 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 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (fma.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64)))) phi2 (*.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64)))) phi2 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R)) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2))) |
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))) |
(neg.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2) lambda2 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)) lambda2))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) phi2 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2)))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 lambda2 phi2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2))) phi2 (*.f64 (neg.f64 lambda2) (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2 (*.f64 (neg.f64 lambda2) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) 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 (fma.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 (fma.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)) |
(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))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) 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 (*.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)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 R) phi1) phi2)) R) 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 #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))))) (/.f64 (*.f64 (neg.f64 R) phi1) phi2)) R) phi2) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(fma.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)) phi2 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))))))) |
(fma.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)) 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)))))) |
(fma.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))) phi2 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))))))) |
(fma.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)))) phi2 phi2) |
(* (cos (* 1/2 phi2)) (- lambda1 lambda2)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) (-.f64 lambda1 lambda2)) |
(* phi2 (- (/ 1 phi2) (/ 1 phi1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)) phi2) |
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))) |
(*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3)))))) |
(*.f64 (+.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (fma.f64 phi1 (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (pow.f64 phi2 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)))) phi2) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 R) phi2) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (*.f64 phi1 R) phi2))) |
(* -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) (-.f64 R (/.f64 (fma.f64 (*.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)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) 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))))) |
(*.f64 (neg.f64 phi2) (-.f64 R (/.f64 (-.f64 (*.f64 phi1 R) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 R (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 phi1 R) (*.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)))) phi2))) phi2)) phi2))) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2))) |
(* -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) (-.f64 #s(literal 1 binary64) (/.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)) phi2)) #s(literal -1/2 binary64) phi1) 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))))) |
(*.f64 (neg.f64 phi2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.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 phi1 (*.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)) phi2))))) phi2)) phi2))) |
(* -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))))))) |
(neg.f64 (fma.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))) phi2 phi2)) |
(* -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)))))))) |
(neg.f64 (fma.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)))) phi2 phi2)) |
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2)))) |
(*.f64 (neg.f64 phi2) (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2))) |
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (neg.f64 phi2) (fma.f64 #s(literal -1 binary64) (+.f64 R (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) phi2)) (/.f64 (*.f64 phi1 R) phi2))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 R) (*.f64 phi1 phi1) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) phi1)) phi2)) phi2)) R)) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2))))) |
(*.f64 (neg.f64 phi2) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 R) (*.f64 phi1 phi1) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) phi1)) phi1) phi2) (fma.f64 (neg.f64 R) (*.f64 phi1 phi1) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R)) phi1))) phi2)) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 phi1 phi1)) R) #s(literal -1 binary64) (*.f64 phi1 R))) phi2)) R)) |
(* -1 (* lambda2 (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(-.f64 (*.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)))) lambda2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))))) |
(*.f64 (neg.f64 lambda2) (-.f64 (*.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)))) lambda2))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 502 |
| 0 | 89 | 412 |
| 1 | 334 | 380 |
| 2 | 2565 | 380 |
| 0 | 8582 | 340 |
| 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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.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 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)) |
(hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2) |
(*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 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))) |
#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 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
(*.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 (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))))) |
(*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) |
(neg.f64 lambda2) |
(fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (neg.f64 lambda2) (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R))) |
#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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) |
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) |
(*.f64 (/.f64 phi2 phi1) R) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) |
| 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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) 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 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2))) |
#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) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) phi2)) |
(*.f64 (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 phi2 phi2)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 phi2 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 phi2 #s(literal 4 binary64))) (pow.f64 (*.f64 phi2 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)))) (neg.f64 (neg.f64 R))) |
(/.f64 (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) #s(literal 1 binary64)) R) |
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(neg.f64 (*.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) phi1)) |
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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 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) (neg.f64 phi1))) |
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#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 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
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(neg.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) lambda2)) |
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(*.f64 #s(literal -1 binary64) lambda2) |
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(neg.f64 lambda2) |
(-.f64 #s(literal 0 binary64) lambda2) |
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(fma.f64 (*.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) lambda1) (pow.f64 lambda2 #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal -1 binary64)) R (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (/.f64 lambda1 lambda2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (/.f64 lambda1 lambda2) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (neg.f64 R) (*.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))) R)) |
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (/.f64 lambda1 lambda2) (neg.f64 R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) |
(fma.f64 R (neg.f64 (*.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))) R)) |
(fma.f64 R (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal -1 binary64)) lambda2) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2)) |
(*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2)) |
(*.f64 (neg.f64 lambda2) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) |
(*.f64 lambda2 (neg.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) (neg.f64 lambda2)) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (neg.f64 lambda2)) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 lambda2) (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64)))) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 lambda2) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2)) |
(fma.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal -1 binary64)) lambda2 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 (*.f64 (neg.f64 lambda2) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (/.f64 lambda1 lambda2) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (neg.f64 lambda2) (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) (neg.f64 R) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (neg.f64 lambda2) (neg.f64 R)) (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) #s(literal -1 binary64)) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (/.f64 lambda1 lambda2) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 lambda2 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 lambda2 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (neg.f64 lambda2) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (neg.f64 R) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (neg.f64 R) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (neg.f64 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) R (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 (neg.f64 lambda2) (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))) |
(fma.f64 (neg.f64 lambda2) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 R (neg.f64 lambda2)) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(fma.f64 R (*.f64 (neg.f64 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2)) |
(+.f64 (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R)) (neg.f64 lambda2)) (*.f64 (*.f64 (neg.f64 lambda2) R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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 (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda1 lambda2)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2))) |
#s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) |
(*.f64 (*.f64 phi2 R) (pow.f64 phi1 #s(literal -1 binary64))) |
(*.f64 (/.f64 phi2 phi1) R) |
(*.f64 phi2 (/.f64 R phi1)) |
(*.f64 phi2 (*.f64 (pow.f64 phi1 #s(literal -1 binary64)) R)) |
(*.f64 R (/.f64 phi2 phi1)) |
(pow.f64 (/.f64 phi1 (*.f64 phi2 R)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 phi2) R) (neg.f64 phi1)) |
(/.f64 (*.f64 #s(literal 1 binary64) R) (/.f64 phi1 phi2)) |
(/.f64 (*.f64 R (neg.f64 phi2)) (neg.f64 phi1)) |
(/.f64 (*.f64 R #s(literal 1 binary64)) (/.f64 phi1 phi2)) |
(/.f64 (neg.f64 (*.f64 phi2 R)) (neg.f64 phi1)) |
(/.f64 (*.f64 phi2 R) phi1) |
(/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))) |
(/.f64 R (/.f64 phi1 phi2)) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(-.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)))) |
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
(-.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)))) |
(cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
Compiled 33 187 to 2 476 computations (92.5% saved)
52 alts after pruning (48 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 15 | 461 |
| Fresh | 4 | 33 | 37 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 453 | 52 | 505 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R)) | |
| 40.6% | (*.f64 R (hypot.f64 (-.f64 phi1 phi2) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)))))) | |
| 53.0% | (*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 55.1% | (*.f64 R (sqrt.f64 (+.f64 #s(approx (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 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)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 24.2% | (*.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)))) | |
| 23.1% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1)))) | |
| 59.3% | (*.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 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2))) | |
| ✓ | 75.7% | (*.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))) |
| ▶ | 65.5% | (*.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))) |
| ✓ | 68.6% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))) |
| 24.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2))) | |
| 12.3% | (*.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) (-.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))))))) | |
| 19.3% | (*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))))) | |
| 8.5% | (*.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) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) | |
| 6.7% | (*.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) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| 18.7% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) | |
| 23.2% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda2))) | |
| 16.8% | (*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) lambda1))) | |
| ✓ | 29.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| 48.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) | |
| 46.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) | |
| 58.1% | (*.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)))) | |
| 37.2% | (*.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) (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))))))) | |
| 20.2% | (*.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)))))) | |
| 23.8% | (*.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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)))) | |
| 12.5% | (*.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)))) | |
| 13.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) | |
| ▶ | 45.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) |
| 44.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) | |
| 21.2% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1)) | |
| 34.9% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2)) | |
| 57.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)) | |
| 6.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1)) | |
| 17.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| 9.2% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) | |
| 13.0% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) | |
| 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) | |
| 58.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1))))) | |
| 46.5% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) | |
| 47.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R)))) | |
| 48.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| 44.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| ▶ | 46.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
| 57.3% | #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 (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))) | |
| 16.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2))))) | |
| ▶ | 11.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) |
| ✓ | 36.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| ▶ | 58.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) |
| 53.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) | |
| 49.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) | |
| 33.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2))) | |
| 18.8% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (*.f64 (*.f64 R lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))))) |
Compiled 5 449 to 2 860 computations (47.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) | |
| cost-diff | 3 | (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)) | |
| cost-diff | 4 | (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) | |
| cost-diff | 9 | (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) | |
| cost-diff | 0 | #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) | |
| cost-diff | 0 | (neg.f64 lambda2) | |
| cost-diff | 0 | (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) | |
| 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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) | |
| 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 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) | |
| cost-diff | 1 | (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R) | |
| cost-diff | 11 | (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 R) | |
| cost-diff | 0 | #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) | |
| cost-diff | 2 | (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) | |
| 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 | 73 | 742 |
| 0 | 109 | 689 |
| 1 | 211 | 675 |
| 2 | 514 | 557 |
| 3 | 1925 | 536 |
| 4 | 7228 | 534 |
| 0 | 8287 | 438 |
| 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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))) |
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) |
(neg.f64 R) |
R |
phi1 |
(*.f64 phi2 R) |
phi2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) |
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R) |
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(fma.f64 (/.f64 phi2 phi1) R R) |
(/.f64 phi2 phi1) |
phi2 |
phi1 |
R |
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(neg.f64 phi1) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(*.f64 (/.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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) |
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) |
(neg.f64 lambda2) |
lambda2 |
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) |
(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 |
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) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) |
(neg.f64 phi1) |
phi1 |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)) |
(log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) |
(/.f64 phi2 phi1) |
phi2 |
#s(literal 1 binary64) |
(fma.f64 (/.f64 phi2 phi1) R R) |
R |
#s(literal -1 binary64) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(*.f64 (/.f64 phi2 phi1) R) |
| 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 (-.f64 lambda1 lambda2) (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 (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 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) phi1)) |
(hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) phi1) |
(hypot.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) 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)) |
(*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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) (- R (* R (/ phi2 phi1)))) (*.f64 (-.f64 phi2 phi1) R))) |
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))) |
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (-.f64 phi2 phi1) R)) |
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) |
(*.f64 (-.f64 phi2 phi1) R) |
(neg.f64 R) |
R |
phi1 |
(*.f64 phi2 R) |
phi2 |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R))) |
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R) |
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R)) |
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) |
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)) R) phi1) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) |
(*.f64 (neg.f64 phi1) R) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
R |
(fma.f64 (/.f64 phi2 phi1) R R) |
(/.f64 phi2 phi1) |
phi2 |
phi1 |
R |
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
#s(literal 1 binary64) |
(neg.f64 phi1) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) |
(*.f64 (/.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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.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 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) (neg.f64 lambda2))) |
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) |
(*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) (neg.f64 lambda2)) |
(neg.f64 lambda2) |
lambda2 |
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) |
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) |
(*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R) |
(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 |
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) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R))) |
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) |
(*.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (*.f64 phi1 R)) |
(neg.f64 phi1) |
phi1 |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)) |
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) |
R |
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)) |
(log.f64 R) |
(log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(neg.f64 (log.f64 R)) |
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 #s(literal 1 binary64) R) |
(+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(/.f64 phi2 phi1) |
phi2 |
#s(literal 1 binary64) |
(fma.f64 (/.f64 phi2 phi1) R R) |
R |
#s(literal -1 binary64) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(-.f64 R (*.f64 (/.f64 phi2 phi1) R)) |
(fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) |
(*.f64 (/.f64 phi2 phi1) R) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.405063473045355 | (*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) | |
| accuracy | 7.334803386377478 | (*.f64 (/.f64 phi2 phi1) R) | |
| accuracy | 17.138487702589714 | (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) | |
| accuracy | 25.402041048168872 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| accuracy | 2.7151892831629367 | (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) | |
| accuracy | 15.452275659048073 | (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) | |
| accuracy | 28.83309041273451 | #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) | |
| accuracy | 49.70994607874079 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) | |
| accuracy | 7.334803386377478 | (*.f64 (/.f64 phi2 phi1) R) | |
| accuracy | 13.15703528028178 | (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R) | |
| accuracy | 17.04894916681004 | (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) | |
| accuracy | 25.402041048168872 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) | |
| accuracy | 0.0 | (neg.f64 R) | |
| accuracy | 0.0 | #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))) | |
| accuracy | 1.003895240422241 | (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) | |
| accuracy | 25.402041048168872 | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) | |
| accuracy | 0.0 | (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) | |
| accuracy | 0.0546875 | (*.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 | 0.09375 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 lambda2)) | |
| accuracy | 27.68865339312605 | #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)) |
| 235.0ms | 190× | 1 | valid |
| 42.0ms | 66× | 0 | valid |
Compiled 1 353 to 134 computations (90.1% saved)
ival-mult: 78.0ms (34.8% of total)ival-cos: 36.0ms (16.1% of total)ival-add: 34.0ms (15.2% of total)ival-div: 19.0ms (8.5% of total)adjust: 16.0ms (7.1% of total)ival-neg: 13.0ms (5.8% of total)ival-hypot: 10.0ms (4.5% of total)ival-sub: 6.0ms (2.7% of total)ival-log: 6.0ms (2.7% of total)ival-exp: 5.0ms (2.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 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)) |
(fma.f64 (neg.f64 R) phi1 (*.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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))) |
(neg.f64 R) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R) |
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.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 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) |
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) |
(neg.f64 lambda2) |
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) |
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 (/.f64 phi2 phi1) R) |
(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 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) |
| Outputs |
|---|
(* R (sqrt (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow (- phi1 phi2) 2)))) |
(* R (+ phi2 (* -1 phi1))) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(* -1 R) |
R |
(* -1 (* (pow R 2) (* phi1 (- 1 (/ phi2 phi1))))) |
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(/ 1 R) |
(- 1 (/ phi2 phi1)) |
(log R) |
(/ (* R phi2) phi1) |
(* -1 (log (/ 1 R))) |
(* -1 (* R (+ phi1 (* -1 phi2)))) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1)))) |
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(/ (* (pow R 2) (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (/ (+ 1 (/ phi2 phi1)) (* R (- (* -1 (/ phi2 phi1)) 1)))) |
(+ 1 (* -1 (/ phi2 phi1))) |
(* -1 (+ (log (/ -1 R)) (log (/ (+ 1 (/ phi2 phi1)) (- (* -1 (/ 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)))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 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))))))))) |
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) |
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) 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 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* 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)))))))))) |
(* -1 lambda2) |
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2) |
(* 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 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(* -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))))) |
(* 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) |
(* R phi2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(* (pow R 2) phi2) |
(+ (* -1 (* (pow R 2) phi1)) (* (pow R 2) phi2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) |
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(* -1 (/ phi2 phi1)) |
(/ (+ phi1 (* -1 phi2)) phi1) |
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))) |
(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 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))) |
(* -1 (* (pow R 2) phi1)) |
(* phi1 (+ (* -1 (pow R 2)) (/ (* (pow R 2) phi2) phi1))) |
(cos (* 1/2 phi1)) |
(cos (* 1/2 (+ phi1 phi2))) |
(* -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 (* 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)))))))) |
(* -1 (* phi1 (+ (* -1 (/ (* (pow R 2) phi2) phi1)) (pow R 2)))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (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 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R)))) |
(+ (* -1 (* phi2 (- (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (pow R 2)))) (* -1 (* (pow R 2) phi1))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) |
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (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)))))) |
(* 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 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3)))))) |
(* phi2 (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2))) |
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2)))) |
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (+ (/ (* phi1 (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1)))))) (pow phi2 3)) (pow R 2))))) |
(* phi2 (- (/ 1 phi2) (/ 1 phi1))) |
(* -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) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2))))) |
(* -1 (* phi2 (- (+ (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) phi2)) (* -1 (pow R 2))) (* -1 (/ (* (pow R 2) phi1) phi2))))) |
(* -1 (* phi2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (* (pow R 2) (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) phi2))) phi2)) (* -1 (pow R 2))))) |
(* -1 (* phi2 (+ (* -1 (/ (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) (/ (* phi1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) phi2)) phi2))) phi2)) (* -1 (pow R 2))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2)))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | R | @ | 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)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R)))) |
| 56.0ms | R | @ | 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)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R)))) |
| 35.0ms | 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)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R)))) |
| 26.0ms | 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)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R)))) |
| 23.0ms | R | @ | -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)) (+ (* (neg R) phi1) (* phi2 R)) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (- R (* R (/ phi2 phi1)))) (neg R) (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (* R (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))))) (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R)) (/ (- R (* (/ phi2 phi1) R)) R) (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (cos (* 1/2 phi1)) (* (/ phi2 phi1) R) (cos (* 1/2 (+ phi2 phi1))) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (* (neg phi1) (* (exp (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1)) (/ (- R (* (/ phi2 phi1) R)) R)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1292 | 9838 |
| 1 | 4440 | 9024 |
| 0 | 8226 | 8411 |
| 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 phi1))) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(* -1 R) |
R |
(* -1 (* (pow R 2) (* phi1 (- 1 (/ phi2 phi1))))) |
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))) |
(* R (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(/ 1 R) |
(- 1 (/ phi2 phi1)) |
(log R) |
(/ (* R phi2) phi1) |
(* -1 (log (/ 1 R))) |
(* -1 (* R (+ phi1 (* -1 phi2)))) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1)))) |
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(/ (* (pow R 2) (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* -1 (/ (+ 1 (/ phi2 phi1)) (* R (- (* -1 (/ phi2 phi1)) 1)))) |
(+ 1 (* -1 (/ phi2 phi1))) |
(* -1 (+ (log (/ -1 R)) (log (/ (+ 1 (/ phi2 phi1)) (- (* -1 (/ 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)))) |
(* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) |
(+ (* -1 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 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))))))))) |
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) |
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) 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 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(* 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)))))))))) |
(* -1 lambda2) |
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2) |
(* 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 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(* -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))))) |
(* 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) |
(* R phi2) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(* (pow R 2) phi2) |
(+ (* -1 (* (pow R 2) phi1)) (* (pow R 2) phi2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) |
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(* -1 (/ phi2 phi1)) |
(/ (+ phi1 (* -1 phi2)) phi1) |
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))) |
(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 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))) |
(* -1 (* (pow R 2) phi1)) |
(* phi1 (+ (* -1 (pow R 2)) (/ (* (pow R 2) phi2) phi1))) |
(cos (* 1/2 phi1)) |
(cos (* 1/2 (+ phi1 phi2))) |
(* -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 (* 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)))))))) |
(* -1 (* phi1 (+ (* -1 (/ (* (pow R 2) phi2) phi1)) (pow R 2)))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (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 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R)))) |
(+ (* -1 (* phi2 (- (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (pow R 2)))) (* -1 (* (pow R 2) phi1))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) |
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (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)))))) |
(* 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 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3)))))) |
(* phi2 (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2))) |
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2)))) |
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (+ (/ (* phi1 (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1)))))) (pow phi2 3)) (pow R 2))))) |
(* phi2 (- (/ 1 phi2) (/ 1 phi1))) |
(* -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) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2))))) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2))))) |
(* -1 (* phi2 (- (+ (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) phi2)) (* -1 (pow R 2))) (* -1 (/ (* (pow R 2) phi1) phi2))))) |
(* -1 (* phi2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (* (pow R 2) (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) phi2))) phi2)) (* -1 (pow R 2))))) |
(* -1 (* phi2 (+ (* -1 (/ (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) (/ (* phi1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) phi2)) phi2))) phi2)) (* -1 (pow R 2))))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2)))) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
| 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 (* -1 phi1))) |
(*.f64 (-.f64 phi2 phi1) R) |
(* -1 (* R (* phi1 (- 1 (/ phi2 phi1))))) |
(*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* -1 R) |
(neg.f64 R) |
R |
(* -1 (* (pow R 2) (* phi1 (- 1 (/ phi2 phi1))))) |
(*.f64 (*.f64 (neg.f64 R) R) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1)) |
(* -1 (* R (* lambda2 (+ (cos (* 1/2 (+ phi1 phi2))) (* -1 (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))))) |
(*.f64 (neg.f64 (*.f64 R 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))))) |
(* R (+ (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)))) R) |
(/ 1 R) |
(/.f64 #s(literal 1 binary64) R) |
(- 1 (/ phi2 phi1)) |
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(log R) |
(log.f64 R) |
(/ (* R phi2) phi1) |
(*.f64 R (/.f64 phi2 phi1)) |
(* -1 (log (/ 1 R))) |
(log.f64 R) |
(* -1 (* R (+ phi1 (* -1 phi2)))) |
(*.f64 (-.f64 phi1 phi2) (neg.f64 R)) |
(* -1 (* R (* phi1 (+ 1 (* -1 (/ phi2 phi1)))))) |
(*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* -1 (/ (* R (- (* -1 (/ phi2 phi1)) 1)) (+ 1 (/ phi2 phi1)))) |
(*.f64 (neg.f64 R) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/ (* R (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(/.f64 (*.f64 (*.f64 phi1 R) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/ (* (pow R 2) (* phi1 (* (+ 1 (* -1 (/ phi2 phi1))) (- (* -1 (/ phi2 phi1)) 1)))) (+ 1 (/ phi2 phi1))) |
(/.f64 (*.f64 (*.f64 (*.f64 R R) phi1) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(* R (* lambda2 (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (*.f64 R lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) |
(* -1 (* R (+ (* -1 (cos (* 1/2 (+ phi1 phi2)))) (/ (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (neg.f64 R)) |
(* -1 (/ (+ 1 (/ phi2 phi1)) (* R (- (* -1 (/ phi2 phi1)) 1)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) R)) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ phi2 phi1))) |
(-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) |
(* -1 (+ (log (/ -1 R)) (log (/ (+ 1 (/ phi2 phi1)) (- (* -1 (/ phi2 phi1)) 1))))) |
(neg.f64 (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) 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 R) (*.f64 (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 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda1) (-.f64 (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 4 binary64)) (*.f64 lambda2 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)))))) (neg.f64 (*.f64 (*.f64 R lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (*.f64 lambda2 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))))) (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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (*.f64 lambda2 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))))) (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))))))) |
(-.f64 (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (-.f64 phi1 phi2)) (*.f64 (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 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))) |
(+ (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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (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 4 binary64)) (*.f64 lambda2 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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda2)))) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (*.f64 lambda2 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))))) (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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 4 binary64)) (*.f64 lambda2 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))))) (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 (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 (*.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)) (*.f64 lambda2 lambda2) (*.f64 phi1 phi1)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda2)))) 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 (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)))) (*.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))))))) 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)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (-.f64 lambda1 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 (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) |
(fma.f64 (neg.f64 (*.f64 R lambda2)) (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))))) |
(* R (cos (* 1/2 (+ phi1 phi2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))) |
(*.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)))) R) |
(* 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 (/.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)))) (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 (* 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 R lambda2) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (/.f64 R (*.f64 lambda1 lambda1)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (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 (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 (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)))) (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 (/ (* 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 lambda1 #s(literal 3 binary64))) (/.f64 lambda2 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda1 lambda1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (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))) |
(*.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 lambda1 lambda1)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (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 (/ (* lambda2 (pow phi1 2)) (* (pow lambda1 3) (cos (* 1/2 phi1))))) (* 1/2 (/ (pow phi1 2) (* (pow lambda1 2) (cos (* 1/2 phi1))))))))) |
(*.f64 (fma.f64 (neg.f64 lambda2) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 phi1 (*.f64 lambda1 lambda1)) (/.f64 phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (/.f64 (*.f64 (*.f64 phi1 phi1) lambda2) (*.f64 (pow.f64 lambda1 #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda1) |
(* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) |
(/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (neg.f64 lambda2)) |
(* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))) 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 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) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 R lambda1) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) #s(literal -1/2 binary64) (*.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 (/.f64 (fma.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (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)))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)) 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))))) |
(*.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.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 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))))) (neg.f64 lambda1))) lambda1))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (/.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))) |
(* -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) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 lambda2 lambda1) #s(literal 1 binary64)) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) lambda1)) lambda1))) |
(* -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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) |
(* -1 (* lambda1 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) lambda1)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 R) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) lambda1))) |
(* -1 (* lambda1 (+ (* -1 (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda1)) (/ (* R (cos (* 1/2 (+ phi1 phi2)))) lambda2)))) |
(*.f64 (neg.f64 lambda1) (fma.f64 (neg.f64 R) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1) (*.f64 R (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2)))) |
(* R (sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2)))) |
(*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) 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 R) (*.f64 (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 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))) (*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) 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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 R lambda2) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 lambda1 lambda1) (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)))))) (neg.f64 (*.f64 (*.f64 R lambda1) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)))))) lambda2 (*.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) 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 (*.f64 lambda1 lambda1) (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 (*.f64 lambda1 lambda1) (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 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) R)) |
(sqrt (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow (- phi1 phi2) 2))) |
(hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) |
(+ (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))))))) |
(-.f64 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1)) (*.f64 (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 (*.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64))))) |
(+ (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 (*.f64 (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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 lambda1 lambda1) (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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) #s(literal 2 binary64)) lambda1)))) lambda2 (hypot.f64 (-.f64 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))) |
(+ (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 (*.f64 lambda1 lambda1) (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 (*.f64 lambda1 lambda1) (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 (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 phi1 phi2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda1))) |
(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 (*.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.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) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 2 binary64)) lambda1)))) 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 (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)))) (*.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))))))) 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)) |
(* -1 lambda2) |
(neg.f64 lambda2) |
(/ (+ (* -1 (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))) (* R (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) lambda2) |
(/.f64 (fma.f64 (neg.f64 (*.f64 R lambda1)) (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))))) 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 (*.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)))) 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 (/.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 (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)))) 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 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 R lambda1) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (*.f64 (/.f64 R (*.f64 lambda2 lambda2)) (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (*.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)))) 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 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))))) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1)))) (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (*.f64 lambda2 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) (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))) |
(*.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (/.f64 phi1 lambda2) (/.f64 phi1 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)))) 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 (fma.f64 (neg.f64 lambda1) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 phi1 (*.f64 lambda2 lambda2)) (/.f64 phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (/.f64 lambda1 (pow.f64 lambda2 #s(literal 3 binary64))) (/.f64 (*.f64 phi1 phi1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (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) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) lambda2) |
(* lambda2 (+ (* -1 (* R (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2))) |
(*.f64 (*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R) lambda2) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) lambda2)) (* R (cos (* 1/2 (+ phi1 phi2))))))) |
(*.f64 (neg.f64 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)))) 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) (-.f64 (*.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))))) 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 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (*.f64 (+.f64 (/.f64 lambda1 lambda2) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (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))))) |
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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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(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (* lambda1 (cos (* 1/2 phi1))) lambda2))))) |
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(* -1 (* lambda2 (+ (cos (* 1/2 phi1)) (* -1 (/ (+ (* -1/2 (/ (pow phi1 2) (* lambda2 (cos (* 1/2 phi1))))) (* lambda1 (cos (* 1/2 phi1)))) lambda2))))) |
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(* -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))))) |
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(* 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) |
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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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(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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(- lambda1 lambda2) |
(-.f64 lambda1 lambda2) |
(- (+ lambda1 (* 1/2 (/ (* (pow phi1 2) (+ 1 (* -1/4 (pow (- lambda1 lambda2) 2)))) (- lambda1 lambda2)))) lambda2) |
(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) (-.f64 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) |
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(- (+ 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) |
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(- (+ lambda1 (* -1/8 (* (pow phi1 2) (- lambda1 lambda2)))) lambda2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 phi1 phi1)) (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) |
(- (+ lambda1 (* (pow phi1 2) (+ (* -1/8 (- lambda1 lambda2)) (* 1/384 (* (pow phi1 2) (- lambda1 lambda2)))))) lambda2) |
(fma.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal 1/384 binary64) (*.f64 phi1 phi1) #s(literal -1/8 binary64))) (*.f64 phi1 phi1) (-.f64 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) |
(fma.f64 (fma.f64 (*.f64 (-.f64 lambda1 lambda2) (fma.f64 #s(literal -1/46080 binary64) (*.f64 phi1 phi1) #s(literal 1/384 binary64))) (*.f64 phi1 phi1) (*.f64 #s(literal -1/8 binary64) (-.f64 lambda1 lambda2))) (*.f64 phi1 phi1) (-.f64 lambda1 lambda2)) |
(* R phi2) |
(*.f64 phi2 R) |
(+ (* -1 (* R phi1)) (* R phi2)) |
(*.f64 (-.f64 phi2 phi1) R) |
(* (pow R 2) phi2) |
(*.f64 (*.f64 R R) phi2) |
(+ (* -1 (* (pow R 2) phi1)) (* (pow R 2) phi2)) |
(fma.f64 (*.f64 (neg.f64 R) R) phi1 (*.f64 (*.f64 R R) phi2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2)))) |
(+ (* -1 (* lambda2 (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))))) |
(fma.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2)))) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) phi1)) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))))) (* phi1 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2))))) (* phi1 (+ (* -1 (* lambda2 (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)))))))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) phi1)) phi1 (*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2))))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* R (cos (* 1/2 phi2)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi1 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (+ (* R (cos (* 1/2 phi2))) (* phi1 (+ (* -1/2 (* R (sin (* 1/2 phi2)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/8 (* R (cos (* 1/2 phi2)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi2)))) lambda2)) (* phi1 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi2)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi2)))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi1 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi1 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (neg.f64 lambda2)))) |
(* -1 (/ phi2 phi1)) |
(/.f64 (neg.f64 phi2) phi1) |
(/ (+ phi1 (* -1 phi2)) phi1) |
(/.f64 (-.f64 phi1 phi2) phi1) |
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 (fma.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 (fma.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)) |
(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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)) #s(literal -1/2 binary64))) phi1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) |
(* 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 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R)) 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)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) phi1) |
(* phi1 (+ 1 (+ (* -1 (/ phi2 phi1)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.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 #s(literal 1 binary64) (/.f64 phi2 phi1))) 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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(* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2))))) |
(*.f64 (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)) phi1) |
(* 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 (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) (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))) phi1) |
(* 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)) |
(* -1 (* R phi1)) |
(*.f64 (neg.f64 R) phi1) |
(* phi1 (+ (* -1 R) (/ (* R phi2) phi1))) |
(*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1) |
(* -1 (* (pow R 2) phi1)) |
(*.f64 (*.f64 (neg.f64 R) R) phi1) |
(* phi1 (+ (* -1 (pow R 2)) (/ (* (pow R 2) phi2) phi1))) |
(*.f64 (*.f64 (*.f64 R R) (+.f64 (/.f64 phi2 phi1) #s(literal -1 binary64))) phi1) |
(cos (* 1/2 phi1)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(cos (* 1/2 (+ phi1 phi2))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(* -1 (* phi1 (+ R (* -1 (/ (* R phi2) phi1))))) |
(*.f64 (fma.f64 (neg.f64 R) (/.f64 phi2 phi1) R) (neg.f64 phi1)) |
(* -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))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 phi2 R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.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 (*.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)) phi1)))))) (neg.f64 phi1))) phi1)) (neg.f64 phi1)) |
(* -1 phi1) |
(neg.f64 phi1) |
(* -1 (* phi1 (+ 1 (* -1 (/ phi2 phi1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1)) |
(* -1 (* phi1 (+ 1 (* -1 (/ (+ phi2 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi2 (* -1 phi1)))) 2) (pow (- lambda1 lambda2) 2)) phi1))) phi1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.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)) phi1)) #s(literal -1/2 binary64) phi2) phi1)) (neg.f64 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))))) |
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(* -1 (* phi1 (+ 1 (* 1/2 (/ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)))))) |
(*.f64 (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)) (neg.f64 phi1)) |
(* -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 (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) (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))) (neg.f64 phi1)) |
(* -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)))))))) |
(*.f64 (+.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 6 binary64)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 6 binary64)) (pow.f64 phi1 #s(literal 6 binary64)))) #s(literal 1/16 binary64))) (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))) (neg.f64 phi1)) |
(* -1 (* phi1 (+ (* -1 (/ (* (pow R 2) phi2) phi1)) (pow R 2)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 R) R) (/.f64 phi2 phi1) (*.f64 R R)) (neg.f64 phi1)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))))) |
(*.f64 (neg.f64 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)))) R)) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi2 (* -1 phi1)))))) lambda2)) (* R (cos (* 1/2 (- phi2 (* -1 phi1)))))) |
(*.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)))) R) |
(cos (* 1/2 (- phi2 (* -1 phi1)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
(* 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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64))) (neg.f64 (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) |
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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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(+ (* -1 (* R phi1)) (* -1 (* phi2 (- (/ (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) R)))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) phi1) R) R) phi2 (*.f64 phi1 R))) |
(+ (* -1 (* phi2 (- (* phi1 (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (pow R 2)))) (* -1 (* (pow R 2) phi1))) |
(neg.f64 (fma.f64 (*.f64 R R) phi1 (*.f64 (fma.f64 #s(literal 0 binary64) phi1 (*.f64 (neg.f64 R) R)) phi2))) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))) |
(+ (* -1 (* lambda2 (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1))))))) |
(*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2))))) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))) (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))))) |
(fma.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))) lambda2 (*.f64 (*.f64 (neg.f64 lambda2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) phi2)) |
(+ (* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))))) (* phi2 (+ (* -1 (* lambda2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2))))) (* phi2 (+ (* -1 (* lambda2 (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))) (* -1 (* lambda2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)))))))))) |
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(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* R (cos (* 1/2 phi1)))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 lambda2)))) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (+ (* R (cos (* 1/2 phi1))) (* phi2 (+ (* -1/2 (* R (sin (* 1/2 phi1)))) (+ (* 1/2 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/8 (* R (cos (* 1/2 phi1)))) (+ (* 1/8 (/ (* R (* lambda1 (cos (* 1/2 phi1)))) lambda2)) (* phi2 (+ (* -1/48 (/ (* R (* lambda1 (sin (* 1/2 phi1)))) lambda2)) (* 1/48 (* R (sin (* 1/2 phi1)))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) R) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (fma.f64 (/.f64 (*.f64 (*.f64 R lambda1) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))) lambda2) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) R) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi2 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) R (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (neg.f64 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 #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))) |
(* phi2 (+ R (* -1 (/ (* R phi1) phi2)))) |
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) 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 (fma.f64 (*.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)))) #s(literal 1/2 binary64) (-.f64 R (/.f64 (*.f64 phi1 R) 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 (fma.f64 (neg.f64 R) (/.f64 phi1 phi2) (fma.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))))) R)) phi2) |
phi2 |
(* phi2 (+ 1 (* -1 (/ phi1 phi2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) phi2) |
(* phi2 (+ 1 (+ (* -1 (/ phi1 phi2)) (* 1/2 (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (- lambda1 lambda2) 2)) (pow phi2 2)))))) |
(*.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 #s(literal 1 binary64) (/.f64 phi1 phi2))) 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 (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 #s(literal 1 binary64) (/.f64 phi1 phi2))) phi2) |
(* phi2 (+ R (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) phi2) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2) |
(* phi2 (+ R (+ (* -1 (/ (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1))) phi2)) (/ (* phi1 (- (* R (pow phi1 2)) (* phi1 (- (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R) (* -1 (* R phi1)))))) (pow phi2 3)))))) |
(*.f64 (+.f64 (fma.f64 phi1 (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R))) phi1)) (pow.f64 phi2 #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) R) phi2) |
(* phi2 (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2))) |
(*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2) |
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (pow R 2)))) |
(*.f64 (-.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) (/.f64 (-.f64 (*.f64 (*.f64 phi1 R) (*.f64 phi1 R)) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) (*.f64 phi2 phi2))) phi2) |
(* phi2 (+ (* -1 (/ (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))))) (pow phi2 2))) (+ (* -1 (/ (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1))) phi2)) (+ (/ (* phi1 (- (* (pow R 2) (pow phi1 2)) (* phi1 (- (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* -1 (* (pow R 2) phi1)))))) (pow phi2 3)) (pow R 2))))) |
(*.f64 (-.f64 (fma.f64 phi1 (/.f64 (-.f64 (*.f64 (*.f64 phi1 R) (*.f64 phi1 R)) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) (pow.f64 phi2 #s(literal 3 binary64))) (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2))) (/.f64 (-.f64 (*.f64 (*.f64 phi1 R) (*.f64 phi1 R)) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) (*.f64 phi2 phi2))) phi2) |
(* phi2 (- (/ 1 phi2) (/ 1 phi1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi2) (/.f64 #s(literal 1 binary64) phi1)) phi2) |
(* -1 (* R phi2)) |
(*.f64 (neg.f64 phi2) R) |
(* -1 (* phi2 (+ R (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (-.f64 R (/.f64 (*.f64 phi1 R) phi2)) (neg.f64 phi2)) |
(* -1 (* phi2 (+ R (* -1 (/ (+ (* -1/2 (/ (* R (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2))) phi2)) (* R phi1)) phi2))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 (*.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)) phi2))) #s(literal -1/2 binary64) (*.f64 phi1 R)) phi2)) (neg.f64 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))))) |
(*.f64 (-.f64 R (/.f64 (fma.f64 phi1 R (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 R (fma.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 phi1 (*.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)) phi2)))))) (neg.f64 phi2))) phi2)) (neg.f64 phi2)) |
(* -1 phi2) |
(neg.f64 phi2) |
(* -1 (* phi2 (+ 1 (* -1 (/ phi1 phi2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi1 phi2)) (neg.f64 phi2)) |
(* -1 (* phi2 (+ 1 (* -1 (/ (+ phi1 (* -1/2 (/ (* (pow (cos (* 1/2 (- phi1 (* -1 phi2)))) 2) (pow (- lambda1 lambda2) 2)) phi2))) phi2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.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)) phi2)) #s(literal -1/2 binary64) phi1) phi2)) (neg.f64 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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 phi1 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 phi1 (*.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)) phi2)) (*.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))))) phi2)) phi2)) (neg.f64 phi2)) |
(* -1 (* phi2 (+ (* -1 R) (/ (* R phi1) phi2)))) |
(*.f64 (fma.f64 R (/.f64 phi1 phi2) (neg.f64 R)) (neg.f64 phi2)) |
(* -1 (* phi2 (- (+ (* -1 R) (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) (* R phi2)))) (* -1 (/ (* R phi1) phi2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2)) (neg.f64 phi2)) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (* R (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) phi2))) phi2))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) phi2)) (neg.f64 phi2)) R) (neg.f64 phi2)) |
(* -1 (* phi2 (+ (* -1 R) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) (/ (* phi1 (- (* -1 (* R (pow phi1 2))) (* -1 (* phi1 (- (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) R)) (* -1 (* R phi1))))))) phi2)) phi2))) phi2))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (fma.f64 phi1 R (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) phi1) phi2) (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1))) phi2)))) (neg.f64 phi2)) R) (neg.f64 phi2)) |
(* -1 (* phi2 (- (+ (* -1 (/ (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1))) phi2)) (* -1 (pow R 2))) (* -1 (/ (* (pow R 2) phi1) phi2))))) |
(*.f64 (fma.f64 (neg.f64 R) R (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) (neg.f64 phi2)) |
(* -1 (* phi2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (* (pow R 2) (pow phi1 2)) phi2))) (* -1 (/ (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) phi2))) phi2)) (* -1 (pow R 2))))) |
(*.f64 (neg.f64 (fma.f64 R R (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 R) R) (*.f64 phi1 phi1) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) phi2)) phi2))) (neg.f64 phi2)) |
(* -1 (* phi2 (+ (* -1 (/ (+ (* -1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1)))) (* -1 (/ (+ (* -1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) (/ (* phi1 (- (* -1 (* (pow R 2) (pow phi1 2))) (* -1 (* phi1 (- (* -1 (* (pow phi1 2) (+ (* -1 (/ (pow R 2) phi1)) (/ (pow R 2) phi1)))) (* -1 (* (pow R 2) phi1))))))) phi2)) phi2))) phi2)) (* -1 (pow R 2))))) |
(*.f64 (neg.f64 (fma.f64 R R (/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (fma.f64 (*.f64 R R) phi1 (/.f64 (fma.f64 phi1 (/.f64 (fma.f64 (*.f64 (neg.f64 R) R) (*.f64 phi1 phi1) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)) phi2) (neg.f64 (fma.f64 (*.f64 (neg.f64 R) R) (*.f64 phi1 phi1) (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi1)))) phi2)))) phi2))) (neg.f64 phi2)) |
(* -1 (* lambda2 (+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))))) |
(*.f64 (neg.f64 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)))) R)) |
(+ (* -1 (/ (* R (* lambda1 (cos (* 1/2 (- phi1 (* -1 phi2)))))) lambda2)) (* R (cos (* 1/2 (- phi1 (* -1 phi2)))))) |
(*.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)))) R) |
(* -1 (* phi2 (- (/ 1 phi1) (/ 1 phi2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) phi1) (/.f64 #s(literal 1 binary64) phi2)) (neg.f64 phi2)) |
(cos (* 1/2 (- phi1 (* -1 phi2)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 590 |
| 0 | 109 | 512 |
| 1 | 396 | 488 |
| 2 | 2859 | 487 |
| 0 | 9339 | 456 |
| 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)) |
(fma.f64 (neg.f64 R) phi1 (*.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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))) |
(neg.f64 R) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R) |
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.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 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)))) |
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R))) |
(neg.f64 lambda2) |
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) R)) |
(/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R) |
(*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 (/.f64 phi2 phi1) R) |
(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 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
(*.f64 (neg.f64 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R))) |
| 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))) |
(*.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 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal -1 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)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64)) (*.f64 phi1 phi1)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.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 (pow.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.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))) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.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)) |
(pow.f64 (*.f64 (fma.f64 phi1 phi1 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))) (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 (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)) #s(literal 2 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 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 phi1 phi1) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.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 (neg.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 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 phi1 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 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 (pow.f64 phi1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64)))))) |
(/.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 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (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)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (-.f64 (pow.f64 phi1 #s(literal 4 binary64)) (pow.f64 (*.f64 phi1 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 4 binary64))) (+.f64 (pow.f64 phi1 #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 6 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 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (exp.f64 (log.f64 phi1))) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) (neg.f64 phi1)) |
(hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1) |
(hypot.f64 (exp.f64 (log.f64 phi1)) (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) |
(hypot.f64 (exp.f64 (log.f64 phi1)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(hypot.f64 (neg.f64 phi1) (exp.f64 (log.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))) (exp.f64 (log.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 (exp.f64 (log.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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 1 binary64)) (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) #s(literal 1 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)) |
(pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) #s(literal 1 binary64)) |
(/.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))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (neg.f64 lambda2))) |
(fma.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 lambda1 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))) (*.f64 (neg.f64 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))) |
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda1) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (neg.f64 lambda2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 phi2 R) (-.f64 (*.f64 phi2 R) (*.f64 (neg.f64 phi1) R)) (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (-.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 phi2 R) (-.f64 (*.f64 phi2 R) (*.f64 (neg.f64 phi1) R)) (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)) (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64))) (-.f64 (*.f64 phi2 R) (*.f64 (neg.f64 phi1) R))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 phi2 R) (-.f64 (*.f64 phi2 R) (*.f64 (neg.f64 phi1) R)) (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64))) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 phi1) R) phi2) R)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64))) (fma.f64 (*.f64 phi2 R) (-.f64 (*.f64 phi2 R) (*.f64 (neg.f64 phi1) R)) (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (-.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 phi2 R) (-.f64 (*.f64 phi2 R) (*.f64 (neg.f64 phi1) R)) (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 phi1 R) #s(literal 3 binary64)) (pow.f64 (*.f64 phi2 R) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 phi1 R) (*.f64 phi2 R)) |
(fma.f64 (neg.f64 phi1) R (*.f64 phi2 R)) |
(fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)) |
(fma.f64 phi2 R (*.f64 (neg.f64 phi1) R)) |
(fma.f64 phi1 (neg.f64 R) (*.f64 phi2 R)) |
(fma.f64 R (neg.f64 phi1) (*.f64 phi2 R)) |
(fma.f64 R phi2 (*.f64 (neg.f64 phi1) R)) |
(-.f64 (/.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))) (/.f64 (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)))) |
(-.f64 (*.f64 phi2 R) (*.f64 phi1 R)) |
(+.f64 (*.f64 (neg.f64 phi1) R) (*.f64 phi2 R)) |
(+.f64 (*.f64 phi2 R) (*.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))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) |
#s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R))) |
(*.f64 #s(literal -1 binary64) R) |
(*.f64 R #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 R R)) (+.f64 #s(literal 0 binary64) R)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 R #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 R R (*.f64 #s(literal 0 binary64) R)))) |
(neg.f64 R) |
(-.f64 #s(literal 0 binary64) R) |
(+.f64 #s(literal 0 binary64) (neg.f64 R)) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 phi2 phi1))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (-.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 phi2 phi1))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 R (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log1p.f64 (/.f64 phi2 phi1)) (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 phi2 phi1)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 phi2 phi1))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R))) |
(/.f64 (*.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (-.f64 (log1p.f64 (/.f64 phi2 phi1)) (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1)))))) |
(exp.f64 (-.f64 (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1))) (log1p.f64 (/.f64 phi2 phi1)))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) #s(literal -1 binary64)) phi1) |
(*.f64 (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 (pow.f64 R #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 R #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (pow.f64 (neg.f64 R) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (pow.f64 R #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R)) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 R #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(*.f64 (neg.f64 phi1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) R)) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) (pow.f64 R #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(*.f64 phi1 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) R) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)) R) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) (neg.f64 (neg.f64 R))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R) |
(/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R))) |
(neg.f64 (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) |
(*.f64 (neg.f64 phi1) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)))) |
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (*.f64 (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R))) (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R))) (*.f64 (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 (*.f64 R R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (*.f64 (/.f64 phi2 phi1) R) (fma.f64 (/.f64 phi2 phi1) R R) (*.f64 R R)))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) phi1) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) phi1))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) phi1) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))) |
(fma.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (*.f64 (/.f64 (neg.f64 phi2) phi1) R))) |
(fma.f64 R (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (*.f64 (*.f64 (/.f64 (neg.f64 phi2) phi1) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(+.f64 (*.f64 R (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (*.f64 (*.f64 (/.f64 (neg.f64 phi2) phi1) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(+.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R) (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (*.f64 (/.f64 (neg.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 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 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 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2))) |
(*.f64 (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) #s(literal -1 binary64)) lambda2) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2)) |
(*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) (neg.f64 lambda2)) |
(*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R))) |
(*.f64 lambda2 (neg.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)))) |
(neg.f64 (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) lambda2)) |
(*.f64 #s(literal -1 binary64) lambda2) |
(*.f64 lambda2 #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 lambda2 lambda2)) (+.f64 #s(literal 0 binary64) lambda2)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 lambda2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 lambda2 lambda2 (*.f64 #s(literal 0 binary64) lambda2)))) |
(neg.f64 lambda2) |
(-.f64 #s(literal 0 binary64) lambda2) |
(+.f64 #s(literal 0 binary64) (neg.f64 lambda2)) |
#s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (-.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R))) (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R))) |
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(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 phi2 phi1))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (-.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 phi2 phi1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 phi2 phi1))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 R (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) R R) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log1p.f64 (/.f64 phi2 phi1)) (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 phi2 phi1)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 phi2 phi1))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R))) |
(/.f64 (*.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64)) (*.f64 R R)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R (neg.f64 R)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 phi2 phi1) R R) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 R #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 R (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (pow.f64 (*.f64 (/.f64 phi2 phi1) R) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R)) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (fma.f64 #s(literal -1 binary64) (/.f64 phi2 phi1) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (-.f64 (log1p.f64 (/.f64 phi2 phi1)) (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1)))))) |
(exp.f64 (-.f64 (+.f64 (log.f64 R) (log1p.f64 (/.f64 phi2 phi1))) (log1p.f64 (/.f64 phi2 phi1)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) |
(*.f64 (/.f64 phi2 phi1) R) |
(*.f64 (*.f64 phi2 R) (pow.f64 phi1 #s(literal -1 binary64))) |
(*.f64 phi2 (/.f64 R phi1)) |
(*.f64 phi2 (*.f64 (pow.f64 phi1 #s(literal -1 binary64)) R)) |
(*.f64 R (/.f64 phi2 phi1)) |
(pow.f64 (/.f64 phi1 (*.f64 phi2 R)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) R) (/.f64 phi1 phi2)) |
(/.f64 (*.f64 R (neg.f64 phi2)) (neg.f64 phi1)) |
(/.f64 (*.f64 R #s(literal 1 binary64)) (/.f64 phi1 phi2)) |
(/.f64 (*.f64 (neg.f64 phi2) R) (neg.f64 phi1)) |
(/.f64 (neg.f64 (*.f64 phi2 R)) (neg.f64 phi1)) |
(/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R))) |
(/.f64 (*.f64 phi2 R) phi1) |
(/.f64 R (/.f64 phi1 phi2)) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) phi1)) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) |
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(cos.f64 (/.f64 (+.f64 phi2 phi1) #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 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
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(*.f64 (pow.f64 R #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 R #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (pow.f64 (neg.f64 R) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (pow.f64 R #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) R)) |
(*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 R #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(*.f64 (neg.f64 phi1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) R)) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (neg.f64 phi1))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (neg.f64 phi1)) (pow.f64 R #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (*.f64 (neg.f64 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(*.f64 phi1 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal -1 binary64)) R) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64)) R) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) (neg.f64 (neg.f64 R))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R))) (neg.f64 (fma.f64 (/.f64 phi2 phi1) R R))) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R)) |
(/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R) |
(/.f64 (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) R)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) (neg.f64 R))) |
(neg.f64 (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 phi1 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) #s(literal -1 binary64)) (*.f64 (neg.f64 phi1) (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))))) #s(literal -1 binary64))) |
Compiled 40 366 to 3 192 computations (92.1% saved)
56 alts after pruning (51 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 18 | 564 |
| Fresh | 10 | 33 | 43 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 560 | 56 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R)) | |
| 53.0% | (*.f64 R (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 lambda2 lambda1) (*.f64 (+.f64 lambda2 lambda1) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) | |
| 24.2% | (*.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)))) | |
| 23.1% | (*.f64 R (sqrt.f64 #s(approx (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (*.f64 phi1 phi1)))) | |
| 59.3% | (*.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 (+.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (+.f64 lambda2 lambda1)) phi2))) | |
| ✓ | 75.7% | (*.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))) |
| 60.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi1)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi1))) | |
| 24.3% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) phi2))) | |
| 20.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (hypot.f64 (exp.f64 (log.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1))))) phi1))) | |
| 12.3% | (*.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) (-.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))))))) | |
| 19.3% | (*.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) (-.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)))))) | |
| 8.5% | (*.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) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) | |
| 6.7% | (*.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) #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)))))) | |
| ✓ | 29.8% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (neg.f64 phi1))) |
| 48.1% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) | |
| 46.5% | (*.f64 R #s(approx (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (exp.f64 (*.f64 (log.f64 (fma.f64 phi2 phi2 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) | |
| 58.1% | (*.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)))) | |
| 37.2% | (*.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) (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))))))) | |
| 20.2% | (*.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)))))) | |
| 23.8% | (*.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))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) lambda2)))) | |
| 12.5% | (*.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)))) | |
| 50.8% | (*.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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2) phi1)))) | |
| 20.2% | (*.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)))))) | |
| 24.1% | (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) lambda2)))) | |
| 12.2% | (*.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)))) | |
| 13.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) | |
| ✓ | 45.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) |
| 44.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) | |
| 43.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) R)) | |
| 37.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R R))) | |
| 27.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) | |
| 32.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R)) | |
| 33.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) | |
| 21.2% | #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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1)) | |
| 57.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (fma.f64 R (/.f64 (neg.f64 phi1) phi2) R) phi2)) | |
| 6.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) lambda1)) | |
| 34.9% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- 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)))) R) lambda2)) | |
| 17.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) | |
| 9.2% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) | |
| 13.0% | #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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) | |
| 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) | |
| 58.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (-.f64 R (*.f64 phi2 (/.f64 R phi1))))) | |
| 46.5% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) | |
| 47.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R phi1))) R)))) | |
| 48.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| 51.1% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 phi1) (*.f64 (exp.f64 #s(approx (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (log.f64 R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) | |
| 57.3% | #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 (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))) | |
| 8.5% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R)))) | |
| ✓ | 36.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 R phi2)) |
| 33.2% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) phi2))) | |
| ✓ | 58.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.f64 phi2 R)))) |
| 18.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)))))) | |
| 53.0% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) | |
| 49.7% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1))))) | |
| 60.3% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) | |
| 20.4% | #s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (*.f64 (*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R) lambda2))) |
Compiled 7 987 to 2 197 computations (72.5% 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 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 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 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 (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) 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 #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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 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 (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)))) #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)) lambda2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R)))) |
#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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))))) |
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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 (*.f64 R lambda1) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 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 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) |
#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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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)))))) |
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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 phi1) (*.f64 (exp.f64 #s(approx (* (log (/ (+ (/ phi2 phi1) 1) (+ (* (/ phi2 phi1) R) R))) -1) (log.f64 R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (*.f64 (*.f64 R lambda2) (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (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))))) #s(approx (* (neg lambda2) (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R))) (*.f64 (*.f64 (fma.f64 lambda1 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))) lambda2) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 phi2 phi1))))) R) lambda2))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- 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)))) R) lambda2)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2)) R) (/.f64 (*.f64 (*.f64 R lambda1) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) 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 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) lambda2)) |
#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 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)) 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 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda1 lambda2)) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) R)))) |
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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 phi1) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) #s(literal -1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (- R (* R (/ phi2 phi1)))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 phi1 R) #s(literal 2 binary64)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (pow.f64 (*.f64 phi2 R) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)) (fma.f64 (neg.f64 phi1) R (*.f64 (neg.f64 phi2) R)))))) |
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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 (*.f64 R lambda2)) (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))))) |
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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 (fma.f64 (neg.f64 R) (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) (/.f64 lambda2 lambda1)) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) (*.f64 (sin.f64 (*.f64 phi1 #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) phi2)))) R)) lambda1)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 2 binary64))) lambda1) (fma.f64 (*.f64 (neg.f64 R) (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) (*.f64 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))))))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal -1/2 binary64))) (-.f64 lambda1 lambda2)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (-.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64))) R) (*.f64 (*.f64 (/.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) (neg.f64 R))) (pow.f64 (*.f64 (*.f64 R (/.f64 lambda2 lambda1)) (cos.f64 (/.f64 (+.f64 phi2 phi1) #s(literal -2 binary64)))) #s(literal 2 binary64)))) 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 (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))) |
9 calls:
| 40.0ms | phi1 |
| 28.0ms | (*.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))))) |
| 27.0ms | (-.f64 lambda1 lambda2) |
| 25.0ms | R |
| 25.0ms | lambda2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 2 | R |
| 80.0% | 3 | lambda1 |
| 75.7% | 1 | lambda2 |
| 92.1% | 2 | phi1 |
| 93.2% | 2 | phi2 |
| 82.6% | 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))))) |
| 82.6% | 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)))) |
| 82.6% | 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))) |
| 81.7% | 2 | (-.f64 lambda1 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))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) #s(approx (* (neg phi1) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 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 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 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 (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) 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 #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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 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 (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)))) #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)) lambda2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R)))) |
#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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 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)))) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 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 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) |
(*.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 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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)))) |
(*.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:
| 16.0ms | phi1 |
| 14.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 2 | phi1 |
| 88.5% | 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 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 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 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 (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) 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 #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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 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 (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)))) #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)) lambda2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R)))) |
#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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 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)))) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 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 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) |
(*.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 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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)))) |
| 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)))) |
2 calls:
| 16.0ms | phi1 |
| 15.0ms | phi2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 2 | phi1 |
| 83.7% | 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 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 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 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 (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) 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 #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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 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 (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)))) #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)) lambda2)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (neg.f64 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 #s(approx (cos (* 1/2 (+ phi2 phi1))) (cos.f64 (*.f64 #s(literal 1/2 binary64) phi2))) R)))) |
#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)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (cos.f64 (*.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 (neg.f64 (*.f64 R lambda2)) #s(approx (cos (* (+ phi2 phi1) 1/2)) (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 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)))) (*.f64 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 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 (neg.f64 lambda2) #s(approx (cos (* 1/2 (+ phi2 phi1))) (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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (*.f64 (*.f64 R lambda2) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64))) 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 (+.f64 phi2 phi1) #s(literal 1/2 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 lambda2) #s(approx (+ (* (neg R) (* (cos (* (+ phi2 phi1) 1/2)) (/ lambda1 lambda2))) (* (cos (* (+ phi2 phi1) 1/2)) R)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 R lambda2)) (cos.f64 (*.f64 (+.f64 phi2 phi1) #s(literal 1/2 binary64))))) |
(*.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 (+.f64 phi2 phi1) #s(literal 1/2 binary64)))))) |
(*.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 (neg.f64 R) (cos.f64 (/.f64 (+.f64 phi2 phi1) #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 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) (* phi1 phi1))) (hypot.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) phi1)) 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 #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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2))) |
4 calls:
| 24.0ms | phi2 |
| 13.0ms | (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)))) |
| 12.0ms | (+.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))) |
| 12.0ms | (*.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 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))))) |
| 68.6% | 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)))) |
| 68.6% | 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))) |
| 81.8% | 2 | phi2 |
Compiled 92 to 53 computations (42.4% 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 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 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 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 (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi2))) 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 #s(approx (cos (* 1/2 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 #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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) |
2 calls:
| 8.0ms | phi2 |
| 8.0ms | (-.f64 lambda1 lambda2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | (-.f64 lambda1 lambda2) |
| 81.3% | 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 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 phi1) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) 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) (-.f64 R (/.f64 #s(literal 1 binary64) (/.f64 phi1 (*.f64 phi2 R)))))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (-.f64 (*.f64 R R) (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 phi1 phi1) (*.f64 (*.f64 R R) phi1)) phi2)) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (fma.f64 (/.f64 phi2 phi1) R R)) (neg.f64 phi1)) (+.f64 (/.f64 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 (*.f64 (neg.f64 phi1) (fma.f64 (/.f64 phi2 phi1) R R)) (fma.f64 (/.f64 phi2 phi1) (neg.f64 R) R)) (fma.f64 (/.f64 phi2 phi1) R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 phi2 (/.f64 R 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (/.f64 (-.f64 R (/.f64 (*.f64 phi2 R) phi1)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 phi2 phi1) R R) (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (*.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (/.f64 R (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) R)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)) (/.f64 R (+.f64 #s(literal 1 binary64) (/.f64 phi2 phi1)))) (neg.f64 phi1)) (-.f64 R (*.f64 (/.f64 phi2 phi1) R))) 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) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 phi2 phi1) #s(literal 1 binary64)) (fma.f64 (/.f64 phi2 phi1) R R))) (/.f64 (-.f64 R (*.f64 (/.f64 phi2 phi1) R)) 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) (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (/ (- R (* (/ phi2 phi1) R)) R))) (*.f64 (-.f64 (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) R (*.f64 (neg.f64 phi1) (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)))) (*.f64 phi2 phi2))) (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 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 (/ (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) R) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 phi1 phi1) (neg.f64 R) (*.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) phi1)) (*.f64 phi2 phi2)) (-.f64 R (/.f64 (fma.f64 (*.f64 phi1 phi1) (/.f64 #s(literal 0 binary64) R) (*.f64 phi1 R)) 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2)))) |
9 calls:
| 47.0ms | phi1 |
| 13.0ms | lambda1 |
| 9.0ms | (+.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))) |
| 8.0ms | phi2 |
| 8.0ms | (-.f64 lambda1 lambda2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 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))))) |
| 60.3% | 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)))) |
| 60.3% | 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))) |
| 63.1% | 2 | (-.f64 lambda1 lambda2) |
| 62.1% | 2 | lambda2 |
| 60.3% | 1 | lambda1 |
| 63.6% | 2 | R |
| 60.3% | 1 | phi1 |
| 63.6% | 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.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 phi1) (-.f64 R (*.f64 phi2 (/.f64 R 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 phi1) (-.f64 #s(literal 1 binary64) (/.f64 phi2 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) (-.f64 R (*.f64 phi2 (/.f64 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) |
2 calls:
| 24.0ms | phi2 |
| 4.0ms | R |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 2 | phi2 |
| 63.6% | 2 | R |
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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) 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) (- R (* R (/ phi2 phi1)))) (*.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 R (/.f64 (neg.f64 phi1) 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 (-.f64 #s(literal 1 binary64) (/.f64 phi1 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) (- R (* R (/ phi2 phi1)))) (*.f64 (*.f64 (neg.f64 R) phi1) (-.f64 #s(literal 1 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 phi1) (-.f64 R (*.f64 R (/.f64 phi2 phi1))))) |
| 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1))) |
3 calls:
| 4.0ms | phi2 |
| 4.0ms | R |
| 4.0ms | (-.f64 lambda1 lambda2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 1 | (-.f64 lambda1 lambda2) |
| 62.9% | 2 | R |
| 62.9% | 2 | phi2 |
Compiled 5 to 16 computations (-220% 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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)))) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
#s(approx (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (/.f64 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 (neg.f64 R) R) phi1)) R)) |
| 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) phi2)) R)) |
2 calls:
| 3.0ms | phi2 |
| 3.0ms | R |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 1 | phi2 |
| 62.1% | 2 | R |
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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (fma.f64 (neg.f64 R) phi1 (*.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 phi1 phi1)))) |
(*.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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) |
5 calls:
| 20.0ms | (+.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))) |
| 2.0ms | R |
| 2.0ms | lambda2 |
| 2.0ms | (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)))) |
| 2.0ms | (*.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 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))))) |
| 60.3% | 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)))) |
| 60.3% | 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))) |
| 60.3% | 1 | lambda2 |
| 60.3% | 1 | R |
Compiled 93 to 58 computations (37.6% 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:
| 1.0ms | R |
| 1.0ms | phi2 |
| 1.0ms | (*.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))))) |
| 1.0ms | phi1 |
| 1.0ms | lambda1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.3% | 1 | lambda2 |
| 57.2% | 2 | phi2 |
| 36.3% | 1 | R |
| 36.3% | 1 | (-.f64 lambda1 lambda2) |
| 55.2% | 2 | phi1 |
| 38.2% | 2 | lambda1 |
| 38.0% | 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))))) |
| 38.1% | 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)))) |
| 38.1% | 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))) |
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)) |
6 calls:
| 1.0ms | phi2 |
| 1.0ms | (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 | (*.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))))) |
| 1.0ms | (+.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))) |
| 1.0ms | phi1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.3% | 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))))) |
| 36.3% | 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)))) |
| 36.3% | 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))) |
| 36.3% | 1 | lambda1 |
| 36.3% | 1 | phi1 |
| 36.3% | 1 | phi2 |
Compiled 94 to 63 computations (33% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 3283.236733082653 | 217961.5051419078 |
| 20.0ms | 13× | 1 | valid |
| 10.0ms | 99× | 0 | valid |
Compiled 637 to 372 computations (41.6% saved)
ival-add: 18.0ms (66.8% of total)ival-cos: 3.0ms (11.1% of total)ival-mult: 2.0ms (7.4% of total)ival-hypot: 2.0ms (7.4% of total)ival-div: 1.0ms (3.7% of total)ival-sub: 1.0ms (3.7% 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 |
|---|---|---|
| 16.0ms | 217961.5051419078 | 944698.5001400451 |
| 8.0ms | 76× | 0 | valid |
| 4.0ms | 20× | 1 | valid |
Compiled 677 to 370 computations (45.3% saved)
ival-cos: 3.0ms (33.8% of total)ival-hypot: 2.0ms (22.5% of total)ival-add: 1.0ms (11.3% of total)ival-div: 1.0ms (11.3% of total)adjust: 1.0ms (11.3% of total)ival-sub: 1.0ms (11.3% of total)ival-mult: 1.0ms (11.3% 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 | 217961.5051419078 | 944698.5001400451 |
Compiled 689 to 382 computations (44.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 5.832390541350995e+27 | 3.1544456699774802e+32 |
| 15.0ms | 58× | 1 | valid |
| 7.0ms | 70× | 0 | valid |
Compiled 755 to 454 computations (39.9% saved)
ival-cos: 5.0ms (29.4% of total)adjust: 4.0ms (23.5% of total)ival-hypot: 3.0ms (17.7% of total)ival-mult: 2.0ms (11.8% of total)ival-add: 1.0ms (5.9% of total)ival-div: 1.0ms (5.9% of total)ival-sub: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 5.697281785032819e+20 | 3.352918627687856e+21 |
| 27.0ms | 60× | 0 | valid |
| 8.0ms | 36× | 1 | valid |
Compiled 653 to 376 computations (42.4% saved)
ival-sub: 22.0ms (70.2% of total)ival-cos: 3.0ms (9.6% of total)ival-mult: 2.0ms (6.4% of total)ival-hypot: 2.0ms (6.4% of total)adjust: 1.0ms (3.2% of total)ival-div: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% 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 |
|---|---|---|
| 22.0ms | 1.743894178973454e+138 | 1.2096157306144449e+142 |
| 10.0ms | 111× | 0 | valid |
| 7.0ms | 17× | 1 | valid |
Compiled 923 to 510 computations (44.7% saved)
ival-sub: 5.0ms (40.1% of total)ival-mult: 2.0ms (16.1% of total)ival-hypot: 2.0ms (16.1% of total)ival-cos: 2.0ms (16.1% of total)adjust: 1.0ms (8% of total)ival-div: 1.0ms (8% of total)ival-add: 1.0ms (8% 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 |
|---|---|---|
| 21.0ms | 9.958155028206203e+111 | 1.3856487828552833e+115 |
| 9.0ms | 47× | 1 | valid |
| 7.0ms | 81× | 0 | valid |
Compiled 843 to 470 computations (44.2% saved)
ival-hypot: 3.0ms (25.8% of total)ival-mult: 2.0ms (17.2% of total)ival-cos: 2.0ms (17.2% of total)ival-add: 1.0ms (8.6% of total)adjust: 1.0ms (8.6% of total)ival-div: 1.0ms (8.6% of total)ival-sub: 1.0ms (8.6% 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 |
|---|---|---|
| 20.0ms | 2.3481242495493893e+107 | 4.35094310720908e+107 |
| 4.0ms | 50× | 0 | valid |
| 3.0ms | 14× | 1 | valid |
Compiled 479 to 266 computations (44.5% saved)
ival-div: 1.0ms (19.4% of total)ival-hypot: 1.0ms (19.4% of total)ival-sub: 1.0ms (19.4% of total)ival-cos: 1.0ms (19.4% of total)ival-mult: 1.0ms (19.4% 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 |
|---|---|---|
| 16.0ms | 3.9780576940595135e+264 | 7.825873845800792e+267 |
| 11.0ms | 128× | 0 | valid |
Compiled 1 019 to 542 computations (46.8% saved)
ival-mult: 2.0ms (27.4% of total)ival-hypot: 2.0ms (27.4% of total)ival-div: 1.0ms (13.7% of total)ival-add: 1.0ms (13.7% of total)ival-sub: 1.0ms (13.7% of total)ival-cos: 1.0ms (13.7% 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 |
|---|---|---|
| 25.0ms | 3.1544456699774802e+32 | 1.897729203492313e+36 |
| 13.0ms | 58× | 1 | valid |
| 6.0ms | 70× | 0 | valid |
Compiled 603 to 342 computations (43.3% saved)
ival-hypot: 3.0ms (22.9% of total)ival-cos: 3.0ms (22.9% of total)ival-mult: 2.0ms (15.3% of total)ival-add: 1.0ms (7.6% of total)adjust: 1.0ms (7.6% of total)ival-div: 1.0ms (7.6% of total)ival-sub: 1.0ms (7.6% 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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1146 |
| 1 | 220 | 1140 |
| 2 | 438 | 1128 |
| 3 | 1301 | 1108 |
| 4 | 4369 | 1108 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 phi2 #s(literal 3300 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 230000 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 230000 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 19999999999999999271792589930496 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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 2300000000000000000000 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))) |
(if (<=.f64 R #s(literal 5400000000000000177344437441706600826529867858341903155766492501797233837253455175937607104389728028493327325835341152124701849424742055936 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))) |
(if (<=.f64 phi2 #s(literal 79999999999999994409594775410435178277386652011118147940927174893177838662647311230095708695154035740617824272384 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) (-.f64 R (*.f64 phi2 (/.f64 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))) |
(if (<=.f64 R #s(literal 320000000000000029131519696117899203347345278456155698289454635994908892651242692868933763121331590098059264 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))) |
(if (<=.f64 R #s(literal 7499999999999999800786686406201704794081389208421178129452844439903594730183334925205333033576515167613618757172472318926243684380173602057637623044818515974360919600944855803055294688586769969147366366806572531484178841408458524222778155951498726200676046690488156160 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) |
(if (<=.f64 phi2 #s(literal 2699999999999999910699198895357952 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 3300 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 230000 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 230000 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 19999999999999999271792589930496 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)))) (hypot.f64 (*.f64 #s(approx (cos (* 1/2 phi2)) #s(literal 1 binary64)) (-.f64 lambda1 lambda2)) phi2)))) |
(if (<=.f64 phi2 #s(literal 2300000000000000000000 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))) |
(if (<=.f64 R #s(literal 5400000000000000177344437441706600826529867858341903155766492501797233837253455175937607104389728028493327325835341152124701849424742055936 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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) #s(approx (- R (* R (/ phi2 phi1))) (*.f64 (-.f64 (/.f64 R phi2) (/.f64 R phi1)) phi2))))) |
(if (<=.f64 phi2 #s(literal 79999999999999994409594775410435178277386652011118147940927174893177838662647311230095708695154035740617824272384 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) (-.f64 R (*.f64 phi2 (/.f64 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R))))) |
(if (<=.f64 R #s(literal 320000000000000029131519696117899203347345278456155698289454635994908892651242692868933763121331590098059264 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) 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) (- R (* R (/ phi2 phi1)))) (*.f64 (fma.f64 R (/.f64 phi2 phi1) (neg.f64 R)) phi1)))) |
(if (<=.f64 R #s(literal 7499999999999999800786686406201704794081389208421178129452844439903594730183334925205333033576515167613618757172472318926243684380173602057637623044818515974360919600944855803055294688586769969147366366806572531484178841408458524222778155951498726200676046690488156160 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.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 #s(approx (* (* (/ (+ (* (/ phi2 phi1) R) R) (+ (/ phi2 phi1) 1)) (neg phi1)) (- R (* (/ phi2 phi1) R))) (*.f64 (*.f64 R R) 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) (- R (* R (/ phi2 phi1)))) #s(approx (+ (* (neg R) phi1) (* phi2 R)) (*.f64 (-.f64 phi2 phi1) R)))) |
(if (<=.f64 phi2 #s(literal 2699999999999999910699198895357952 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 | 1292 | 9838 |
| 1 | 4440 | 9024 |
| 0 | 8226 | 8411 |
| 0 | 56 | 502 |
| 0 | 89 | 412 |
| 1 | 334 | 380 |
| 2 | 2565 | 380 |
| 0 | 8582 | 340 |
| 0 | 47 | 382 |
| 0 | 75 | 316 |
| 1 | 251 | 316 |
| 2 | 1799 | 316 |
| 0 | 9005 | 286 |
| 0 | 884 | 7928 |
| 1 | 2974 | 7384 |
| 2 | 7948 | 7384 |
| 0 | 8115 | 6877 |
| 0 | 1154 | 9110 |
| 1 | 3912 | 8553 |
| 0 | 8330 | 7971 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 668 to 609 computations (63.5% saved)
(sort lambda1 lambda2)
(negabs R)
Compiled 3 076 to 566 computations (81.6% saved)
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