
Time bar (total: 20.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 8 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 9 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 10 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 11 |
| 18.8% | 18.7% | 81% | 0.3% | 0% | 0% | 0% | 12 |
Compiled 20 to 19 computations (5% saved)
| 1.3s | 8 256× | 0 | valid |
| 292.0ms | 2 717× | 0 | invalid |
ival-mult: 388.0ms (38.6% of total)ival-div: 234.0ms (23.3% of total)ival-pow2: 173.0ms (17.2% of total)ival-sqrt: 110.0ms (11% of total)ival-sub: 77.0ms (7.7% of total)exact: 10.0ms (1% of total)ival-true: 8.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 5 232× | lower-*.f32 |
| 5 224× | lower-*.f64 |
| 5 184× | lower-/.f32 |
| 5 180× | lower-/.f64 |
| 1 444× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 501 |
| 1 | 520 | 492 |
| 2 | 1570 | 492 |
| 3 | 4468 | 492 |
| 0 | 17 | 18 |
| 0 | 26 | 18 |
| 1 | 47 | 18 |
| 2 | 115 | 18 |
| 3 | 826 | 18 |
| 4 | 4554 | 18 |
| 5 | 7862 | 18 |
| 0 | 8022 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)))) |
(abs d)
(abs D)
(abs M)
(negabs w0)
(sort M D)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 0 | - | 1 | (5.364465399977646e+265 6.261642949984028e-45 2.2480475133149614e+72 -1.2214133750006897e-272 -2.494182044724362e+39 45535.265867692564) | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 25 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 18 | 0 | - | 1 | (5.182112431224964e-206 1.1795908867669166e-159 5.7013321332344395e-157 -9.383227603074562e-93 8.853554911504262e-49 3.095328606991606e-21) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 10 | 0 | - | 0 | - | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | w0 |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | oflow-rescue | 25 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 58 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) | overflow | 60 | |
| ↳ | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | overflow | 35 | |
| ↳ | (*.f64 M D) | overflow | 18 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 29 | |
| ↳ | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | overflow | 60 | |
| ↳ | (/.f64 h l) | overflow | 17 | |
*.f64 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) | n*o | 10 | 0 |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*o | 8 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 6 | 0 |
| ↳ | (*.f64 M D) | overflow | 18 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | o*u | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 58 | |
| ↳ | (*.f64 M D) | overflow | 18 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 29 | |
| ↳ | (/.f64 h l) | underflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 10 |
| - | 11 | 199 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 10 |
| - | 11 | 0 | 199 |
| number | freq |
|---|---|
| 0 | 209 |
| 1 | 43 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 512× | 0 | valid |
Compiled 242 to 72 computations (70.2% saved)
ival-mult: 11.0ms (32.4% of total)ival-div: 9.0ms (26.5% of total)ival-pow2: 6.0ms (17.7% of total)ival-sqrt: 4.0ms (11.8% of total)ival-sub: 2.0ms (5.9% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 6 to 6 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.6% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
Compiled 24 to 17 computations (29.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| ✓ | cost-diff | 5504 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 5 232× | lower-*.f32 |
| 5 224× | lower-*.f64 |
| 5 184× | lower-/.f32 |
| 5 180× | lower-/.f64 |
| 1 444× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 95 |
| 0 | 26 | 95 |
| 1 | 47 | 95 |
| 2 | 115 | 95 |
| 3 | 826 | 95 |
| 4 | 4554 | 95 |
| 5 | 7862 | 95 |
| 0 | 8022 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
d |
(/.f64 h l) |
h |
l |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
(fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
d |
(/.f64 h l) |
h |
l |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 96.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| ✓ | accuracy | 93.5% | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| ✓ | accuracy | 85.8% | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 27.0ms | 256× | 0 | valid |
Compiled 97 to 19 computations (80.4% saved)
ival-mult: 6.0ms (40.5% of total)ival-div: 3.0ms (20.2% of total)ival-sqrt: 2.0ms (13.5% of total)ival-pow2: 2.0ms (13.5% of total)ival-sub: 1.0ms (6.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf l) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf M) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | d | @ | 0 | (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) |
| 4.0ms | l | @ | 0 | (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) |
| 3.0ms | w0 | @ | 0 | (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) |
| 2.0ms | M | @ | 0 | (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) |
| 2.0ms | l | @ | 0 | (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) |
| 1× | egg-herbie |
| 10 592× | lower-*.f64 |
| 10 592× | lower-*.f32 |
| 8 912× | lower-fma.f64 |
| 8 912× | lower-fma.f32 |
| 2 750× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 628 | 8158 |
| 1 | 2189 | 8136 |
| 0 | 8486 | 7930 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
| Outputs |
|---|
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (*.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 w0 (*.f64 h (*.f64 h (pow.f64 D #s(literal 4 binary64)))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 (*.f64 D D) h))) (*.f64 (*.f64 d d) l))) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (*.f64 M M) (fma.f64 M (*.f64 M (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 w0 (*.f64 h (*.f64 h (pow.f64 D #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 M M)) (*.f64 w0 (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 (*.f64 D D) h))) (*.f64 (*.f64 d d) l))) w0) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(*.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 M (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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w0 |
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w0 |
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))) |
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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1 |
#s(literal 1 binary64) |
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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1 |
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1 |
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(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* 1/2 (/ (* D M) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
| 1× | batch-egg-rewrite |
| 5 804× | lower-*.f32 |
| 5 796× | lower-*.f64 |
| 4 036× | lower-fma.f64 |
| 4 036× | lower-fma.f32 |
| 3 008× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 78 |
| 0 | 26 | 78 |
| 1 | 82 | 78 |
| 2 | 550 | 78 |
| 3 | 7073 | 78 |
| 0 | 8661 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))) |
(exp.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M))))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M (*.f64 D (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))) (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d))) |
(/.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 d (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (neg.f64 d))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 #s(literal 2 binary64) d) D)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D)) |
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (*.f64 M D))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) d) |
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)) (neg.f64 d)) |
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 2 binary64) D)) (/.f64 d M)) |
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 d (*.f64 M D))) |
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) d) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) (*.f64 d (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 d d))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) |
(/.f64 (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1 binary64)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 d d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) d) |
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) d) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 d)) |
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) d) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (neg.f64 d)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))) |
(*.f64 M (pow.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64))) |
(*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)))) |
(*.f64 M (*.f64 M (/.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) D) (*.f64 #s(literal 2 binary64) d)))) |
(*.f64 M (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64))) |
(*.f64 D (*.f64 M (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)))) |
(*.f64 D (*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(*.f64 D (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))) |
(*.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (*.f64 M D) (pow.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))) |
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) |
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(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) D) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) (neg.f64 d))) |
(*.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))))) |
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64))) |
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d)) |
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) |
(*.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) |
(*.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
Compiled 31 317 to 4 380 computations (86% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 990 | 16 | 1 006 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 991 | 16 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.4% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
| ▶ | 89.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
| 86.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) | |
| 85.7% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) | |
| ▶ | 79.9% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
| 65.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) | |
| 67.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) | |
| 62.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) | |
| 64.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) | |
| 75.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) | |
| 74.0% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) | |
| ▶ | 57.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
| 16.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) | |
| 54.7% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| ▶ | 65.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 55.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
Compiled 866 to 564 computations (34.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) |
| ✓ | cost-diff | 512 | (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) |
| 7 730× | lower-*.f32 |
| 7 688× | lower-*.f64 |
| 2 766× | lower-/.f32 |
| 2 746× | lower-/.f64 |
| 2 674× | lower-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 567 |
| 0 | 107 | 566 |
| 1 | 225 | 558 |
| 2 | 764 | 543 |
| 3 | 4889 | 536 |
| 4 | 7974 | 536 |
| 0 | 8238 | 536 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) |
(*.f64 M D) |
M |
D |
(*.f64 d #s(literal -2 binary64)) |
d |
#s(literal -2 binary64) |
l |
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) h) |
#s(literal 1 binary64) |
h |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
w0 |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(*.f64 D D) |
D |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) |
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) |
(*.f64 (*.f64 D (neg.f64 M)) D) |
(*.f64 D (neg.f64 M)) |
D |
(neg.f64 M) |
M |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d d) |
d |
#s(literal 4 binary64) |
l |
h |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
(/.f64 D d) |
D |
d |
(*.f64 (*.f64 M M) #s(literal 1/4 binary64)) |
(*.f64 M M) |
M |
#s(literal 1/4 binary64) |
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) |
(neg.f64 (/.f64 h l)) |
(/.f64 h l) |
h |
l |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 M D) (*.f64 d (*.f64 #s(literal -2 binary64) l))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) |
(*.f64 M D) |
M |
D |
(*.f64 d #s(literal -2 binary64)) |
d |
#s(literal -2 binary64) |
l |
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) h) |
#s(literal 1 binary64) |
h |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
w0 |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(*.f64 D D) |
D |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) |
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 M M) h) |
(*.f64 M (*.f64 M h)) |
(*.f64 M M) |
M |
h |
(*.f64 (*.f64 d d) l) |
(*.f64 d (*.f64 d l)) |
(*.f64 d d) |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)) |
(fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(neg.f64 (*.f64 M (*.f64 D (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64)))))))) |
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) |
(*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) |
(*.f64 (*.f64 D (neg.f64 M)) D) |
(*.f64 D (*.f64 M (neg.f64 D))) |
(*.f64 D (neg.f64 M)) |
(*.f64 M (neg.f64 D)) |
D |
(neg.f64 M) |
M |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d (*.f64 d #s(literal 4 binary64))) |
(*.f64 d d) |
d |
#s(literal 4 binary64) |
l |
h |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
(*.f64 D (*.f64 M (/.f64 (*.f64 M #s(literal 1/4 binary64)) d))) |
(/.f64 D d) |
D |
d |
(*.f64 (*.f64 M M) #s(literal 1/4 binary64)) |
(*.f64 M (*.f64 M #s(literal 1/4 binary64))) |
(*.f64 M M) |
M |
#s(literal 1/4 binary64) |
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) |
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) |
(neg.f64 (/.f64 h l)) |
(/.f64 h l) |
h |
l |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 96.2% | (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) |
| ✓ | accuracy | 86.5% | (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) |
| ✓ | accuracy | 83.0% | (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 94.3% | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) |
| ✓ | accuracy | 92.6% | (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) |
| ✓ | accuracy | 79.3% | (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
| ✓ | accuracy | 89.5% | (*.f64 (*.f64 d d) l) |
| ✓ | accuracy | 88.5% | (*.f64 (*.f64 M M) h) |
| ✓ | accuracy | 83.0% | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) |
| ✓ | accuracy | 79.0% | (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
| ✓ | accuracy | 96.2% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 65.2% | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 93.5% | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| ✓ | accuracy | 92.2% | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
| ✓ | accuracy | 91.4% | (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
| 97.0ms | 256× | 0 | valid |
Compiled 518 to 61 computations (88.2% saved)
ival-mult: 34.0ms (50.7% of total)ival-div: 16.0ms (23.9% of total)ival-sqrt: 6.0ms (8.9% of total)ival-add: 4.0ms (6% of total)ival-neg: 2.0ms (3% of total)ival-pow2: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) (patch (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (patch (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow D 2) (pow M 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (patch (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow D 2) (pow M 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (patch (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow D 2) (pow M 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (patch (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow D 2) (pow M 2))) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (patch (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf D) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
330 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | d | @ | -inf | (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) |
| 16.0ms | M | @ | 0 | (* (/ D d) (* (* M M) 1/4)) |
| 7.0ms | d | @ | inf | (/ (/ (* M D) (* 2 d)) (/ 1 h)) |
| 1.0ms | D | @ | 0 | (/ (/ (* M D) (* 2 d)) (/ 1 h)) |
| 1.0ms | M | @ | 0 | (/ (/ (* M D) (* 2 d)) (/ 1 h)) |
| 1× | egg-herbie |
| 10 432× | lower-*.f64 |
| 10 432× | lower-*.f32 |
| 8 468× | lower-fma.f64 |
| 8 468× | lower-fma.f32 |
| 2 730× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 659 | 35067 |
| 1 | 2282 | 34837 |
| 0 | 8195 | 33789 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
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(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
1 |
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
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1 |
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1 |
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
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(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
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(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* -1 (* (pow D 2) (pow M 2))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) d)) |
| Outputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* D M) (* d l))) |
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal -1/2 binary64))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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w0 |
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w0 |
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w0 |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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w0 |
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w0 |
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w0 |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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w0 |
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w0 |
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w0 |
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w0 |
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1 |
#s(literal 1 binary64) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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w0 |
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(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 M (fma.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 w0 (*.f64 D (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(fma.f64 D (*.f64 D (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) w0)) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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(fma.f64 D (*.f64 D (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) w0)) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 d w0) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))) (/.f64 (*.f64 (*.f64 D M) (*.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 h l)))) d)) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (*.f64 (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)))) (/.f64 (*.f64 (*.f64 D M) (*.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 h l)))) d)) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 w0 (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 h #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 d (*.f64 d d)))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) (*.f64 l (*.f64 h (*.f64 h h)))))))) (*.f64 (/.f64 (*.f64 d w0) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 D M) (*.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 h l)))) d)) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(-.f64 w0 (/.f64 (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) (*.f64 d d)) #s(literal 1/8 binary64)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (*.f64 h (*.f64 h h)) (*.f64 (pow.f64 M #s(literal 6 binary64)) w0))) (*.f64 l (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 l))) l)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w0 (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 h (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64)))))) w0) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D (*.f64 M (sqrt.f64 #s(literal -1 binary64)))) w0) d))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (*.f64 D D) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 h h)) (pow.f64 M #s(literal 4 binary64))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (*.f64 D D) (fma.f64 (*.f64 D D) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 D D)) (*.f64 (*.f64 h h) (*.f64 h (pow.f64 M #s(literal 6 binary64))))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 D (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 d (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M (*.f64 D D))))) (*.f64 M (*.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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1 |
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(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 d)) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
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w0 |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* (pow d 2) l) |
(*.f64 d (*.f64 d l)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d d)) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* -1 (* (pow D 2) (pow M 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64))) |
| 1× | batch-egg-rewrite |
| 4 392× | lower-/.f32 |
| 4 372× | lower-/.f64 |
| 3 784× | lower-*.f32 |
| 3 744× | lower-*.f64 |
| 2 492× | lower-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 437 |
| 0 | 107 | 439 |
| 1 | 359 | 409 |
| 2 | 3068 | 392 |
| 0 | 8459 | 392 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) |
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 M M) h) |
(*.f64 (*.f64 d d) l) |
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (log.f64 h) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h))) |
(/.f64 (*.f64 M D) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d d))) (neg.f64 l)) |
(/.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) l) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #s(literal 1 binary64)) (*.f64 d (*.f64 d l))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 h (*.f64 M M))) l) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d) (*.f64 d l)) |
(/.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) d)) (neg.f64 (*.f64 d l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 d (*.f64 d l)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d d)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) l)) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #s(literal 1 binary64))) (neg.f64 (*.f64 d (*.f64 d l)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 h (*.f64 M M)))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 M M)) l))) (neg.f64 (*.f64 d d))) |
(pow.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d d))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))) |
(*.f64 (*.f64 h (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 h (*.f64 M M)) (/.f64 #s(literal -1/4 binary64) (*.f64 d (*.f64 d l)))) |
(*.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l)))) |
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d (*.f64 d l))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))) |
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (*.f64 d l) (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (*.f64 h (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 d (*.f64 d l)))) |
(*.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d l))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) l) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d d)) (/.f64 #s(literal -1/4 binary64) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 #s(literal -1/4 binary64) (*.f64 d l))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) l) (/.f64 h (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (*.f64 d d)) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 l (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d l) (*.f64 h (*.f64 M M))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 h (*.f64 M M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d l) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d l) h) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 l #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h (*.f64 M M))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 h (*.f64 M M))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) h) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #s(literal -1 binary64)) (/.f64 h l)) |
(*.f64 M (*.f64 M h)) |
(*.f64 h (*.f64 M M)) |
(*.f64 (*.f64 M M) h) |
(*.f64 (*.f64 M h) M) |
(*.f64 d (*.f64 d l)) |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 d l) d) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 d #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D)))))) |
(/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d (*.f64 d #s(literal 4 binary64)))) |
(/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d))))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 d d)) M) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 M #s(literal 1/4 binary64))) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 d)) (*.f64 d #s(literal 4 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -4 binary64)) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal 1 binary64))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 d))) (neg.f64 (*.f64 d #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 d d)) M)) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -4 binary64))) (neg.f64 (*.f64 d d))) |
(pow.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d))) #s(literal -1 binary64)) |
(*.f64 M (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 d (*.f64 d #s(literal 4 binary64))))) |
(*.f64 M (*.f64 (*.f64 D (*.f64 D (neg.f64 M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))) |
(*.f64 D (*.f64 (*.f64 D (neg.f64 M)) (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64)))) |
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) |
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) |
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 (*.f64 M D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))) |
(*.f64 (*.f64 D (*.f64 D (neg.f64 M))) (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64))))) |
(*.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d))) |
(*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 d d)) (*.f64 M #s(literal 1/4 binary64))) |
(*.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 d d))) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) (*.f64 d #s(literal 4 binary64)))) |
(*.f64 (/.f64 M d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 M (*.f64 D (*.f64 D (neg.f64 M))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M (*.f64 D (*.f64 D (neg.f64 M))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) (*.f64 d d)) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 D (neg.f64 M)))) |
(*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) #s(literal 4 binary64))) |
(*.f64 (/.f64 (*.f64 D (neg.f64 M)) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 D (*.f64 D (neg.f64 M))) #s(literal 4 binary64)) (/.f64 M (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 D (neg.f64 M)) (*.f64 d d)) (/.f64 (*.f64 M D) #s(literal 4 binary64))) |
(*.f64 (/.f64 (*.f64 D (neg.f64 M)) #s(literal 4 binary64)) (/.f64 (*.f64 M D) (*.f64 d d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 M D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 M D)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 M D) (*.f64 M D))) |
(*.f64 M (*.f64 D (*.f64 D (neg.f64 M)))) |
(*.f64 D (*.f64 (*.f64 D (neg.f64 M)) M)) |
(*.f64 D (*.f64 (neg.f64 M) (*.f64 M D))) |
(*.f64 (*.f64 M D) (*.f64 D (neg.f64 M))) |
(*.f64 (neg.f64 M) (*.f64 D (*.f64 M D))) |
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 M D)) |
(*.f64 (*.f64 D (*.f64 D (neg.f64 M))) M) |
(*.f64 (*.f64 M (*.f64 D (neg.f64 M))) D) |
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) M) D) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (/.f64 d D)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64)))))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 d))) |
(pow.f64 (/.f64 d (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 M (*.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 D d))) |
(*.f64 D (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))) |
(*.f64 D (/.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) d)) |
(*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 D d))) |
(*.f64 (/.f64 D d) (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D (*.f64 M M)) d)) |
(*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (/.f64 D d)) |
(*.f64 (/.f64 (*.f64 D (*.f64 M M)) d) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) |
Compiled 69 669 to 4 253 computations (93.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 034 | 18 | 2 052 |
| Fresh | 10 | 1 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 048 | 20 | 2 068 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) | |
| 72.0% | (*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) | |
| 61.1% | (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) | |
| 73.5% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) | |
| 73.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) | |
| 86.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) | |
| ▶ | 89.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
| 77.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) | |
| ▶ | 75.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
| 79.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) | |
| 83.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) | |
| 79.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) | |
| 78.4% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) | |
| ▶ | 77.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
| 59.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) | |
| ▶ | 63.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
| 21.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) | |
| 57.9% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) | |
| ✓ | 65.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ▶ | 55.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
Compiled 1 106 to 710 computations (35.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) |
| ✓ | cost-diff | 0 | (*.f64 D D) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
| ✓ | cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) |
| ✓ | cost-diff | 2944 | (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
| 8 478× | lower-*.f32 |
| 8 428× | lower-*.f64 |
| 2 568× | lower-/.f32 |
| 2 546× | lower-/.f64 |
| 1 528× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 771 |
| 0 | 124 | 720 |
| 1 | 258 | 712 |
| 2 | 902 | 694 |
| 3 | 5704 | 694 |
| 4 | 7730 | 694 |
| 0 | 8495 | 694 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) |
(*.f64 M D) |
M |
D |
(*.f64 d #s(literal -2 binary64)) |
d |
#s(literal -2 binary64) |
l |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) h) |
#s(literal 1 binary64) |
h |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
(*.f64 D D) |
D |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) |
#s(literal -1/8 binary64) |
(*.f64 h (*.f64 M (*.f64 M w0))) |
h |
(*.f64 M (*.f64 M w0)) |
M |
(*.f64 M w0) |
w0 |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) |
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) |
D |
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) |
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) |
h |
(*.f64 #s(literal -1/4 binary64) (*.f64 M M)) |
#s(literal -1/4 binary64) |
(*.f64 M M) |
M |
(*.f64 d (*.f64 d l)) |
d |
(*.f64 d l) |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) |
(*.f64 D D) |
D |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(*.f64 #s(literal -1/4 binary64) (*.f64 M M)) |
#s(literal -1/4 binary64) |
(*.f64 M M) |
M |
d |
(/.f64 h (*.f64 d l)) |
h |
(*.f64 d l) |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(*.f64 D (*.f64 M M)) |
D |
(*.f64 M M) |
M |
d |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) |
(*.f64 D h) |
h |
(*.f64 d (neg.f64 l)) |
(neg.f64 l) |
l |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) |
(*.f64 M (/.f64 D (*.f64 d #s(literal -2 binary64)))) |
(*.f64 M D) |
M |
D |
(*.f64 d #s(literal -2 binary64)) |
d |
#s(literal -2 binary64) |
l |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) h) |
#s(literal 1 binary64) |
h |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
(fma.f64 (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0) |
(*.f64 D D) |
D |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M (*.f64 M h)))) (*.f64 d (*.f64 d l))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M (*.f64 M h)))) |
#s(literal -1/8 binary64) |
(*.f64 h (*.f64 M (*.f64 M w0))) |
(*.f64 w0 (*.f64 M (*.f64 M h))) |
h |
(*.f64 M (*.f64 M w0)) |
(*.f64 w0 (*.f64 M M)) |
M |
(*.f64 M w0) |
(*.f64 w0 M) |
w0 |
(*.f64 (*.f64 d d) l) |
(*.f64 d (*.f64 d l)) |
(*.f64 d d) |
d |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) |
(/.f64 (*.f64 D (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l))) |
D |
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) |
(/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) |
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) |
(*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) |
h |
(*.f64 #s(literal -1/4 binary64) (*.f64 M M)) |
(*.f64 M (*.f64 M #s(literal -1/4 binary64))) |
#s(literal -1/4 binary64) |
(*.f64 M M) |
M |
(*.f64 d (*.f64 d l)) |
d |
(*.f64 d l) |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(*.f64 D D) |
D |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) |
(/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) d) |
(*.f64 #s(literal -1/4 binary64) (*.f64 M M)) |
(*.f64 M (*.f64 M #s(literal -1/4 binary64))) |
#s(literal -1/4 binary64) |
(*.f64 M M) |
M |
d |
(/.f64 h (*.f64 d l)) |
h |
(*.f64 d l) |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/.f64 (*.f64 M (*.f64 M D)) d) |
(*.f64 D (*.f64 M M)) |
(*.f64 M (*.f64 M D)) |
D |
(*.f64 M M) |
M |
d |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D h)) (*.f64 d l)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) |
(neg.f64 (*.f64 h (/.f64 D (*.f64 d l)))) |
(*.f64 D h) |
h |
(*.f64 d (neg.f64 l)) |
(neg.f64 l) |
l |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 90.8% | (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 90.7% | (/.f64 (*.f64 D (*.f64 M M)) d) |
| ✓ | accuracy | 88.7% | (*.f64 D (*.f64 M M)) |
| ✓ | accuracy | 86.4% | (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) |
| ✓ | accuracy | 91.9% | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
| ✓ | accuracy | 90.8% | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) |
| ✓ | accuracy | 90.4% | (/.f64 h (*.f64 d l)) |
| ✓ | accuracy | 79.0% | (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) |
| ✓ | accuracy | 93.3% | (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) |
| ✓ | accuracy | 90.8% | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) |
| ✓ | accuracy | 88.5% | (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) |
| ✓ | accuracy | 83.0% | (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) |
| ✓ | accuracy | 89.5% | (*.f64 (*.f64 d d) l) |
| ✓ | accuracy | 82.2% | (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) |
| ✓ | accuracy | 80.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
| ✓ | accuracy | 78.9% | (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
| ✓ | accuracy | 92.2% | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
| ✓ | accuracy | 91.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
| ✓ | accuracy | 75.3% | (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
| 223.0ms | 256× | 0 | valid |
Compiled 647 to 69 computations (89.3% saved)
ival-mult: 48.0ms (38.8% of total)ival-add: 40.0ms (32.3% of total)ival-div: 24.0ms (19.4% of total)ival-sqrt: 6.0ms (4.9% of total)ival-pow2: 2.0ms (1.6% of total)ival-sub: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) #<representation binary64>) () ()) |
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) (patch (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) (patch (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (patch (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ()) |
#s(alt (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (patch (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #<representation binary64>) () ()) |
#s(alt (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) (patch (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 h (*.f64 d l)) (patch (/.f64 h (*.f64 d l)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (patch (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (patch (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) #<representation binary64>) () ()) |
#s(alt (*.f64 D (*.f64 M M)) (patch (*.f64 D (*.f64 M M)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* D (pow M 2)) d) (taylor inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (pow M 2)) d) (taylor inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (pow M 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (pow M 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (pow M 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (pow M 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ()) |
408 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | h | @ | -inf | (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h)) |
| 11.0ms | D | @ | inf | (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h)) |
| 10.0ms | M | @ | -inf | (* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1))) |
| 3.0ms | D | @ | inf | (* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1))) |
| 2.0ms | w0 | @ | 0 | (* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1))) |
| 1× | egg-herbie |
| 7 864× | lower-*.f64 |
| 7 864× | lower-*.f32 |
| 7 138× | lower-fma.f64 |
| 7 138× | lower-fma.f32 |
| 5 722× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1289 | 38925 |
| 1 | 4544 | 38089 |
| 0 | 8879 | 37023 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt -1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt -1/2) 4))))) (* (pow d 4) (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt -1/2) 2))))) (* (pow d 2) l))))) |
(+ w0 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt -1/2) 4))))) (* (pow d 4) (pow l 2)))) (+ (* 1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt -1/2) 6))))) (* (pow d 6) (pow l 3)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt -1/2) 2))))) (* (pow d 2) l)))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (pow d 2)))) l))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 10)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l))))))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
w0 |
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
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(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
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(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
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(* -1/4 (/ (* D h) (* d l))) |
(* -1/4 (/ (* D h) (* d l))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt -1/2) 4)))) (* (pow d 4) (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))) |
(+ 1 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt -1/2) 4)))) (* (pow d 4) (pow l 2)))) (+ (* 1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt -1/2) 6)))) (* (pow d 6) (pow l 3)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 10)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l))))))))) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (* (pow M 2) h)) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(/ h (* d l)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1/4 (/ (pow M 2) d)) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* -1 (/ (* D h) (* d l))) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
(/ (* D (pow M 2)) d) |
| Outputs |
|---|
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/ (* D (* M (pow (sqrt 1/2) 2))) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) |
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d)) |
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))) |
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w0 |
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(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 D (*.f64 (*.f64 (*.f64 M w0) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 h l)))) d) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
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(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
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w0 |
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w0 |
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w0 |
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w0 |
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(/.f64 (*.f64 D (*.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d) |
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w0 |
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w0 |
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w0 |
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w0 |
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w0 |
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w0 |
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w0 |
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w0 |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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w0 |
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w0 |
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w0 |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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w0 |
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w0 |
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1 |
#s(literal 1 binary64) |
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
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#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 h (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D M) (*.f64 D M))) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 l (*.f64 d d))) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h)) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 l (*.f64 d d))) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h)) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 l (*.f64 d d))) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(/ h (* d l)) |
(/.f64 h (*.f64 d l)) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1/4 (/ (pow M 2) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* -1 (/ (* D h) (* d l))) |
(/.f64 (neg.f64 (*.f64 D h)) (*.f64 d l)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(* D (pow M 2)) |
(*.f64 D (*.f64 M M)) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
(/ (* D (pow M 2)) d) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
| 1× | batch-egg-rewrite |
| 4 780× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 3 172× | lower-/.f32 |
| 3 150× | lower-/.f64 |
| 3 110× | lower-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 604 |
| 0 | 124 | 564 |
| 1 | 432 | 548 |
| 2 | 3419 | 548 |
| 0 | 8212 | 548 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0) |
(*.f64 D D) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) |
(*.f64 (*.f64 d d) l) |
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) |
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) |
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) |
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) |
(/.f64 h (*.f64 d l)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) |
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) |
(*.f64 D (*.f64 M M)) |
(/.f64 (*.f64 D (*.f64 M M)) d) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64))) |
(fabs.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(fabs.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) |
(neg.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 M D) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) |
(/.f64 (*.f64 M (neg.f64 D)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 M (neg.f64 D)) (*.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) d) |
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) d)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (neg.f64 (*.f64 M (neg.f64 D))) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 d)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M D))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) |
(/.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 M (neg.f64 D)))) (exp.f64 (log.f64 (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (exp.f64 (log.f64 d))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) d))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D))) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) d))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 M D))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) d))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 M D))) (sqrt.f64 (*.f64 d (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 d d))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 d)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 d)) |
(/.f64 (fabs.f64 (*.f64 M D)) (fabs.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (fabs.f64 (*.f64 M D)) (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (fabs.f64 (*.f64 M D)) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) |
(/.f64 (fabs.f64 (*.f64 M (neg.f64 D))) (fabs.f64 (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 M (neg.f64 D))) (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (fabs.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (fabs.f64 d)) |
(/.f64 (fabs.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (fabs.f64 (*.f64 #s(literal 1 binary64) d))) |
(/.f64 (fabs.f64 (*.f64 M (/.f64 D d))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (fabs.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 M (neg.f64 D)))) (fabs.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 M (/.f64 D d)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (fabs.f64 (neg.f64 d))) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M D)))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (fabs.f64 d)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64))) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(*.f64 M (neg.f64 (/.f64 D (*.f64 d #s(literal -2 binary64))))) |
(*.f64 M (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) |
(*.f64 M (pow.f64 (neg.f64 (/.f64 D (*.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(*.f64 M (pow.f64 (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) |
(*.f64 D (pow.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64))) |
(*.f64 D (pow.f64 (/.f64 M (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (*.f64 M D) (neg.f64 (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (*.f64 M D) (pow.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 M D) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 M D) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64))) |
(*.f64 (*.f64 M D) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 M D) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) |
(*.f64 (sqrt.f64 (*.f64 M D)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 M D)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))) |
(*.f64 (*.f64 M (neg.f64 D)) (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 (/.f64 D d) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (neg.f64 (*.f64 D #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) #s(literal 1 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M D)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64))) |
(*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) |
(*.f64 (sqrt.f64 M) (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)) (fma.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))) (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 D D)) (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))) (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))))) |
(/.f64 (fma.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))) (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 D D)) (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))))) |
(/.f64 (neg.f64 (fma.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 D D)) (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))) (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)) (fma.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))) (*.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 D D)) (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))))) |
(*.f64 (fma.f64 D (*.f64 (*.f64 (*.f64 D h) (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M M) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d l) h)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 h (*.f64 d (neg.f64 l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) h)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d l) h) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 h d))) |
(/.f64 h (*.f64 d l)) |
(/.f64 (/.f64 h l) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d l) h))) |
(/.f64 (neg.f64 h) (*.f64 d (neg.f64 l))) |
(/.f64 (/.f64 h d) l) |
(/.f64 (neg.f64 (neg.f64 h)) (*.f64 d l)) |
(/.f64 (neg.f64 (/.f64 h d)) (neg.f64 l)) |
(/.f64 (/.f64 (neg.f64 h) d) (neg.f64 l)) |
(pow.f64 (/.f64 (*.f64 d l) h) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d l) h) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d l)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 h (*.f64 d l))) |
(*.f64 h (/.f64 #s(literal 1 binary64) (*.f64 d l))) |
(*.f64 (neg.f64 h) (/.f64 #s(literal -1 binary64) (*.f64 d l))) |
(*.f64 (/.f64 h d) (/.f64 #s(literal 1 binary64) l)) |
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 h d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)) h) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 h l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (neg.f64 d))) |
(neg.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M (*.f64 M #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 M (*.f64 M #s(literal -1/4 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M (*.f64 M #s(literal -1/4 binary64)))))) |
(/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 (neg.f64 d))) |
(pow.f64 (/.f64 d (*.f64 M (*.f64 M #s(literal -1/4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d (*.f64 M (*.f64 M #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) |
(*.f64 (*.f64 M M) (/.f64 #s(literal -1/4 binary64) d)) |
(*.f64 (*.f64 M M) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M (*.f64 M #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M #s(literal -1/4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d l) (*.f64 D (neg.f64 h)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 D h) (*.f64 d l))) |
(neg.f64 (/.f64 (*.f64 D (neg.f64 h)) (*.f64 d (neg.f64 l)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 D h) d) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) (*.f64 D (neg.f64 h)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d l) (*.f64 D (neg.f64 h))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (/.f64 (*.f64 D h) d))) |
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d l) (*.f64 D (neg.f64 h))))) |
(/.f64 (*.f64 D (neg.f64 h)) (*.f64 d l)) |
(/.f64 (/.f64 (*.f64 D h) d) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (*.f64 d (neg.f64 l))) |
(/.f64 (neg.f64 (/.f64 (*.f64 D h) d)) (neg.f64 (neg.f64 l))) |
(/.f64 (/.f64 (*.f64 D h) (neg.f64 l)) d) |
(/.f64 (*.f64 (/.f64 D d) h) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 D h) #s(literal 1 binary64)) (*.f64 d (neg.f64 l))) |
(/.f64 (*.f64 D (/.f64 h (neg.f64 l))) d) |
(/.f64 (/.f64 (/.f64 (*.f64 D h) d) #s(literal -1 binary64)) l) |
(pow.f64 (/.f64 (*.f64 d l) (*.f64 D (neg.f64 h))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d l) (*.f64 D (neg.f64 h))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 l) (/.f64 (*.f64 D h) d)) #s(literal -1 binary64)) |
(*.f64 D (/.f64 h (*.f64 d (neg.f64 l)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) |
(*.f64 h (*.f64 D (/.f64 #s(literal -1 binary64) (*.f64 d l)))) |
(*.f64 h (/.f64 D (*.f64 d (neg.f64 l)))) |
(*.f64 (*.f64 D h) (/.f64 #s(literal -1 binary64) (*.f64 d l))) |
(*.f64 (*.f64 D (neg.f64 h)) (/.f64 #s(literal 1 binary64) (*.f64 d l))) |
(*.f64 (/.f64 h d) (/.f64 D (neg.f64 l))) |
(*.f64 (/.f64 h d) (pow.f64 (/.f64 (neg.f64 l) D) #s(literal -1 binary64))) |
(*.f64 (/.f64 D d) (/.f64 h (neg.f64 l))) |
(*.f64 (/.f64 h (neg.f64 l)) (/.f64 D d)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 d l)) (*.f64 D h)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 d l)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 D h)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (neg.f64 l) (*.f64 D h)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 D h) d) (/.f64 #s(literal 1 binary64) (neg.f64 l))) |
(*.f64 (/.f64 h (*.f64 d (neg.f64 l))) D) |
(*.f64 (/.f64 D (neg.f64 l)) (/.f64 h d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) (/.f64 (*.f64 D h) d)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 l) D) #s(literal -1 binary64)) (/.f64 h d)) |
(*.f64 M (*.f64 M D)) |
(*.f64 D (*.f64 M M)) |
(*.f64 (*.f64 M D) M) |
(*.f64 (*.f64 M M) D) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 M (*.f64 M D)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 M (*.f64 M D)) (neg.f64 d))) |
(neg.f64 (/.f64 (*.f64 (*.f64 M (neg.f64 D)) M) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 M (*.f64 M D))) #s(literal 1 binary64))) |
(/.f64 (*.f64 M (*.f64 M D)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M (*.f64 M D))))) |
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) M) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M (neg.f64 D)) M)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1 binary64)) d) |
(pow.f64 (/.f64 d (*.f64 M (*.f64 M D))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d (*.f64 M (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 D (/.f64 (*.f64 M M) d)) |
(*.f64 (*.f64 M D) (/.f64 M d)) |
(*.f64 #s(literal 1 binary64) (*.f64 D (/.f64 (*.f64 M M) d))) |
(*.f64 (*.f64 M M) (/.f64 D d)) |
(*.f64 (*.f64 M (*.f64 M D)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (*.f64 (*.f64 M (neg.f64 D)) M) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M (*.f64 M D))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M D))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 M M) d) D) |
Compiled 89 366 to 6 601 computations (92.6% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 745 | 18 | 2 763 |
| Fresh | 7 | 7 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 756 | 27 | 2 783 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) | |
| 72.0% | (*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) | |
| ▶ | 72.1% | (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
| 86.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) | |
| ▶ | 89.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
| 77.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) | |
| 83.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) | |
| ▶ | 81.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
| 73.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) | |
| 77.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) | |
| 78.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) | |
| 80.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) | |
| 80.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) | |
| 64.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) | |
| 21.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) | |
| 17.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) | |
| 57.9% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) | |
| ✓ | 65.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 54.7% | (*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| ▶ | 59.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
| 72.9% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) | |
| 55.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) | |
| ✓ | 55.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
| 57.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) | |
| 55.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) | |
| 32.6% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) | |
| ▶ | 14.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
Compiled 1 469 to 922 computations (37.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) |
| ✓ | cost-diff | 0 | (*.f64 D D) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 D D) d) |
| ✓ | cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) |
| ✓ | cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
| ✓ | cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 2944 | (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
| 7 534× | lower-*.f32 |
| 7 474× | lower-*.f64 |
| 3 360× | lower-/.f32 |
| 3 342× | lower-/.f64 |
| 2 372× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 775 |
| 0 | 133 | 776 |
| 1 | 298 | 773 |
| 2 | 1179 | 714 |
| 3 | 3804 | 714 |
| 4 | 5120 | 714 |
| 0 | 8159 | 711 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) |
(*.f64 M D) |
M |
D |
(*.f64 d #s(literal -2 binary64)) |
d |
#s(literal -2 binary64) |
l |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
h |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) |
(*.f64 D D) |
D |
(*.f64 (*.f64 M M) (*.f64 h w0)) |
(*.f64 M M) |
M |
(*.f64 h w0) |
h |
w0 |
(*.f64 l (*.f64 d d)) |
l |
(*.f64 d d) |
d |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) |
(*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) |
h |
(*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64)) |
(*.f64 w0 (*.f64 M M)) |
w0 |
(*.f64 M M) |
M |
#s(literal -1/8 binary64) |
(*.f64 d l) |
l |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) |
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) |
(*.f64 M (*.f64 M D)) |
M |
(*.f64 M D) |
D |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
h |
(*.f64 d (*.f64 d (neg.f64 l))) |
d |
(*.f64 d (neg.f64 l)) |
(neg.f64 l) |
l |
w0 |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) |
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) |
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) |
(*.f64 M (*.f64 M #s(literal -1/4 binary64))) |
M |
(*.f64 M #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(/.f64 h d) |
h |
d |
D |
(*.f64 d l) |
l |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) |
(*.f64 M D) |
M |
D |
(*.f64 d #s(literal -2 binary64)) |
d |
#s(literal -2 binary64) |
l |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) h) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
h |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (*.f64 d (*.f64 d l))))) |
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) |
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (*.f64 d (*.f64 d l)))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) |
(/.f64 (*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (*.f64 d (*.f64 d l))) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (/.f64 (*.f64 D D) (*.f64 d (*.f64 d l)))) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) |
(*.f64 D (*.f64 D (*.f64 M (*.f64 w0 (*.f64 M h))))) |
(*.f64 D D) |
D |
(*.f64 (*.f64 M M) (*.f64 h w0)) |
(*.f64 M (*.f64 w0 (*.f64 M h))) |
(*.f64 M M) |
M |
(*.f64 h w0) |
(*.f64 w0 h) |
h |
w0 |
(*.f64 l (*.f64 d d)) |
(*.f64 d (*.f64 d l)) |
l |
(*.f64 d d) |
d |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 D #s(literal -1/8 binary64))) w0)) |
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) |
(fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 D #s(literal -1/8 binary64))) w0) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) |
(*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (/.f64 #s(literal -1/8 binary64) (*.f64 d l))) |
(*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) |
(*.f64 w0 (*.f64 h (*.f64 M (*.f64 M #s(literal -1/8 binary64))))) |
h |
(*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64)) |
(*.f64 M (*.f64 #s(literal -1/8 binary64) (*.f64 w0 M))) |
(*.f64 w0 (*.f64 M M)) |
w0 |
(*.f64 M M) |
M |
#s(literal -1/8 binary64) |
(*.f64 d l) |
l |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) |
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) |
(fma.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) |
(/.f64 (*.f64 h (*.f64 D (*.f64 (*.f64 D (*.f64 M M)) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) |
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) |
(*.f64 h (*.f64 D (*.f64 (*.f64 D (*.f64 M M)) #s(literal 1/4 binary64)))) |
(*.f64 M (*.f64 M D)) |
(*.f64 D (*.f64 M M)) |
M |
(*.f64 M D) |
D |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h) |
(*.f64 D (*.f64 h #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) D) |
(*.f64 D #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
h |
(*.f64 d (*.f64 d (neg.f64 l))) |
(*.f64 d (*.f64 l (neg.f64 d))) |
d |
(*.f64 d (neg.f64 l)) |
(*.f64 l (neg.f64 d)) |
(neg.f64 l) |
l |
w0 |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)) |
(fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) |
(/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) |
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) |
(/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) d) |
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) |
(/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64))) d) |
(*.f64 M (*.f64 M #s(literal -1/4 binary64))) |
(*.f64 (*.f64 M M) #s(literal -1/4 binary64)) |
M |
(*.f64 M #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(/.f64 h d) |
h |
d |
D |
(*.f64 d l) |
l |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 90.8% | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) |
| ✓ | accuracy | 89.5% | (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) |
| ✓ | accuracy | 89.2% | (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) |
| ✓ | accuracy | 89.1% | (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) |
| ✓ | accuracy | 96.2% | (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) |
| ✓ | accuracy | 89.5% | (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) |
| ✓ | accuracy | 78.3% | (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) |
| ✓ | accuracy | 89.2% | (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) |
| ✓ | accuracy | 87.3% | (/.f64 (*.f64 D D) d) |
| ✓ | accuracy | 86.2% | (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) |
| ✓ | accuracy | 80.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
| ✓ | accuracy | 81.5% | (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) |
| ✓ | accuracy | 80.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
| ✓ | accuracy | 75.9% | (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) |
| ✓ | accuracy | 38.7% | #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) |
| ✓ | accuracy | 93.5% | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| ✓ | accuracy | 92.2% | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
| ✓ | accuracy | 90.8% | (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 75.3% | (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
| 145.0ms | 256× | 0 | valid |
Compiled 642 to 77 computations (88% saved)
ival-mult: 66.0ms (61.1% of total)ival-div: 17.0ms (15.7% of total)ival-sqrt: 14.0ms (13% of total)ival-add: 5.0ms (4.6% of total)ival-pow2: 2.0ms (1.9% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) (patch (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) (patch (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 D D) d) (patch (/.f64 (*.f64 D D) d) #<representation binary64>) () ()) |
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) (patch (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) (patch (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (patch (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (patch (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (patch (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) (patch (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ()) |
390 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | l | @ | -inf | (/ (* h (* (* w0 (* M M)) -1/8)) (* d l)) |
| 1.0ms | w0 | @ | 0 | (/ (* h (* (* w0 (* M M)) -1/8)) (* d l)) |
| 1.0ms | d | @ | inf | (/ (* h (* (* w0 (* M M)) -1/8)) (* d l)) |
| 1.0ms | h | @ | 0 | (/ (* h (* (* w0 (* M M)) -1/8)) (* d l)) |
| 1.0ms | M | @ | 0 | (/ (* h (* (* w0 (* M M)) -1/8)) (* d l)) |
| 1× | egg-herbie |
| 7 988× | lower-*.f64 |
| 7 988× | lower-*.f32 |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 804× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1314 | 38267 |
| 1 | 4634 | 37520 |
| 0 | 9014 | 36563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
1 |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
1 |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))) |
(* (pow D 2) (+ (* 1/2 (/ (* (pow M 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* 1/2 (/ (* (pow M 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* 1/2 (/ (* (pow M 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
1 |
(+ 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l) |
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l) |
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l) |
1 |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 h))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* -1/2 (/ (* D M) (* d l))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt -1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt -1/2) 4))))) (* (pow d 4) (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt -1/2) 2))))) (* (pow d 2) l))))) |
(+ w0 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt -1/2) 4))))) (* (pow d 4) (pow l 2)))) (+ (* 1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt -1/2) 6))))) (* (pow d 6) (pow l 3)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt -1/2) 2))))) (* (pow d 2) l)))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (pow d 2)))) l))) |
w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 10)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l))))))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
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(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)) |
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(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)) |
w0 |
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
w0 |
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w0 |
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(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
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w0 |
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(/ (pow D 2) d) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (sqrt 1/2)) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt -1/2) 4)))) (* (pow d 4) (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))) |
(+ 1 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt -1/2) 4)))) (* (pow d 4) (pow l 2)))) (+ (* 1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt -1/2) 6)))) (* (pow d 6) (pow l 3)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 10)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l))))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* (pow D 2) (* (pow M 2) (* h w0))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
| Outputs |
|---|
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d)) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) |
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) |
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w0 |
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 D (*.f64 (*.f64 (*.f64 M w0) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 h l)))) d) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))) |
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w0 |
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(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 (*.f64 h w0) #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) l)) w0) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4))))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (*.f64 D D) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 w0 (*.f64 h h)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (pow.f64 M #s(literal 4 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 h w0) #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) l)))) w0) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (*.f64 D D) (fma.f64 (*.f64 D D) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (pow.f64 M #s(literal 6 binary64))) (*.f64 (*.f64 w0 (*.f64 h (*.f64 h h))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)))) (*.f64 (pow.f64 d #s(literal 6 binary64)) (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (*.f64 w0 (*.f64 h h)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (pow.f64 M #s(literal 4 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 h w0) #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) l)))) w0) |
(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
(/.f64 (*.f64 D (*.f64 (*.f64 (*.f64 M w0) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 h l)))) d) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))) |
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w0 |
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w0 |
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w0 |
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w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l)))) |
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))) |
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
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(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ h l)))) |
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(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 d w0) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M w0) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) d)) (neg.f64 h)) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l)))))))) |
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(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 10)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (pow (sqrt 1/2) 2))))) d) (sqrt (/ 1 (* h l))))))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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w0 |
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w0 |
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w0 |
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w0 |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 d d) w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l)) w0) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l)) w0) |
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w0 |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
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w0 |
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w0 |
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1 |
#s(literal 1 binary64) |
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1 |
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1 |
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)) (neg.f64 M)) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D (*.f64 M M)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (/.f64 (*.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) #s(literal -1/8 binary64)) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))))) (neg.f64 M)) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l)) w0) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (*.f64 D D) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 w0 (*.f64 h h)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l))) w0) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 D (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D D) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D D) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)) (neg.f64 D)) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D D) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 M (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))))))) (neg.f64 D)) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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w0 |
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(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l)) w0) |
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
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w0 |
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w0 |
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w0 |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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1 |
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w0 |
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w0 |
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w0 |
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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1 |
#s(literal 1 binary64) |
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
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#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* d l))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 d l)) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* 1/4 (* (pow D 2) (* (pow M 2) h))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* (pow M 2) h) d)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/4 binary64)) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
(* -1/4 (/ (* D (* (pow M 2) h)) d)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d) |
| 1× | batch-egg-rewrite |
| 8 424× | lower-*.f32 |
| 8 364× | lower-*.f64 |
| 4 612× | lower-/.f32 |
| 4 594× | lower-/.f64 |
| 4 164× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 599 |
| 0 | 133 | 597 |
| 1 | 464 | 528 |
| 2 | 3518 | 528 |
| 0 | 11268 | 521 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) |
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) |
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) |
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) |
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) |
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) |
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (*.f64 M D))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 M D)) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h)) (sqrt.f64 (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h)) |
(*.f64 h (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) l) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 h l) (neg.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 h l)) (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))))) |
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(*.f64 (*.f64 D (/.f64 h d)) (*.f64 (*.f64 M M) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 D (*.f64 (*.f64 M M) #s(literal -1/4 binary64))) (/.f64 h d)) |
Compiled 82 362 to 5 368 computations (93.5% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 548 | 22 | 2 570 |
| Fresh | 9 | 11 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 559 | 38 | 2 597 |
| Status | Accuracy | Program |
|---|---|---|
| 71.7% | (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) | |
| 66.7% | (*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) | |
| 73.2% | (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) | |
| 72.0% | (*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) | |
| 54.7% | (*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) | |
| 86.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) | |
| 88.8% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) | |
| 83.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) | |
| 82.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) | |
| ✓ | 81.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
| 73.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) | |
| 77.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) | |
| 78.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) | |
| 80.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) | |
| 64.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) | |
| 21.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) | |
| 17.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) | |
| ✓ | 65.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ✓ | 59.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
| 59.1% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) | |
| 68.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) | |
| ✓ | 55.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
| 57.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) | |
| 59.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 D D))) #s(literal -1 binary64))) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) | |
| 15.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) | |
| 18.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) | |
| 16.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) | |
| 16.6% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) | |
| 16.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) | |
| 16.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) | |
| 17.2% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) | |
| ✓ | 14.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
| 14.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) | |
| 17.1% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) | |
| 16.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) | |
| 16.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) | |
| 16.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) | |
| 17.1% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
Compiled 2 695 to 1 088 computations (59.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 D D))) #s(literal -1 binary64))) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
15 calls:
| 49.0ms | w0 |
| 47.0ms | (*.f64 M D) |
| 28.0ms | M |
| 25.0ms | d |
| 24.0ms | (*.f64 #s(literal 2 binary64) d) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | w0 |
| 89.2% | 1 | M |
| 89.2% | 1 | D |
| 89.2% | 1 | h |
| 89.2% | 1 | l |
| 89.2% | 1 | d |
| 89.2% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 89.2% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 89.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 89.2% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 89.2% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 89.2% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 89.2% | 1 | (*.f64 M D) |
| 89.2% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 89.2% | 1 | (/.f64 h l) |
Compiled 183 to 140 computations (23.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
15 calls:
| 167.0ms | l |
| 33.0ms | (*.f64 M D) |
| 27.0ms | h |
| 22.0ms | w0 |
| 21.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 89.2% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 89.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 89.2% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 89.2% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 89.2% | 1 | D |
| 89.2% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 89.2% | 1 | w0 |
| 89.2% | 1 | h |
| 89.2% | 1 | l |
| 89.2% | 1 | d |
| 89.2% | 1 | (*.f64 M D) |
| 89.2% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 89.2% | 1 | M |
| 89.2% | 1 | (/.f64 h l) |
Compiled 183 to 140 computations (23.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) |
15 calls:
| 33.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 26.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 23.0ms | w0 |
| 21.0ms | D |
| 20.0ms | (/.f64 h l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 88.8% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 88.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 88.8% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 88.8% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 88.8% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 88.8% | 1 | D |
| 88.8% | 1 | w0 |
| 88.8% | 1 | h |
| 88.8% | 1 | l |
| 88.8% | 1 | d |
| 88.8% | 1 | (*.f64 M D) |
| 88.8% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 88.8% | 1 | (/.f64 h l) |
| 88.8% | 1 | M |
Compiled 183 to 140 computations (23.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
15 calls:
| 41.0ms | l |
| 33.0ms | d |
| 29.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 25.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 24.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 89.6% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 89.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 88.9% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 88.9% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 89.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 86.6% | 1 | w0 |
| 89.2% | 2 | M |
| 89.2% | 2 | D |
| 86.6% | 1 | h |
| 88.8% | 2 | l |
| 86.6% | 1 | d |
| 89.5% | 2 | (*.f64 M D) |
| 86.6% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 89.9% | 3 | (/.f64 h l) |
Compiled 183 to 140 computations (23.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))) |
15 calls:
| 20.0ms | D |
| 19.0ms | h |
| 19.0ms | d |
| 19.0ms | (*.f64 #s(literal 2 binary64) d) |
| 19.0ms | (/.f64 h l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | w0 |
| 88.4% | 3 | d |
| 88.4% | 3 | (*.f64 #s(literal 2 binary64) d) |
| 84.4% | 2 | h |
| 86.7% | 3 | (/.f64 h l) |
| 84.9% | 2 | l |
| 82.7% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 82.7% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 85.9% | 3 | M |
| 84.2% | 2 | D |
| 88.5% | 3 | (*.f64 M D) |
| 84.6% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 85.1% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 85.1% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 85.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 183 to 140 computations (23.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
3 calls:
| 19.0ms | d |
| 19.0ms | (*.f64 #s(literal 2 binary64) d) |
| 16.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | d |
| 88.4% | 3 | (*.f64 #s(literal 2 binary64) d) |
| 87.3% | 3 | (*.f64 M D) |
Compiled 25 to 21 computations (16% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
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(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
2 calls:
| 28.0ms | (*.f64 #s(literal 2 binary64) d) |
| 17.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | d |
| 88.1% | 3 | (*.f64 #s(literal 2 binary64) d) |
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
3 calls:
| 44.0ms | (*.f64 #s(literal 2 binary64) d) |
| 18.0ms | d |
| 14.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 87.3% | 3 | d |
| 87.3% | 3 | (*.f64 #s(literal 2 binary64) d) |
Compiled 35 to 27 computations (22.9% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) |
4 calls:
| 23.0ms | d |
| 16.0ms | (*.f64 #s(literal 2 binary64) d) |
| 15.0ms | (*.f64 M D) |
| 12.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 3 | (*.f64 M D) |
| 82.7% | 1 | d |
| 82.7% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 86.6% | 3 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 44 to 34 computations (22.7% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))) |
5 calls:
| 16.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 13.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 13.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 13.0ms | (*.f64 M D) |
| 12.0ms | (/.f64 h l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 82.3% | 2 | (/.f64 h l) |
| 83.9% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 83.9% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 86.5% | 3 | (*.f64 M D) |
Compiled 80 to 58 computations (27.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
1 calls:
| 14.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 3 | (*.f64 M D) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
3 calls:
| 18.0ms | l |
| 13.0ms | (*.f64 M D) |
| 11.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 78.5% | 1 | l |
| 86.2% | 3 | (*.f64 M D) |
Compiled 40 to 30 computations (25% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0) |
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0)) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
12 calls:
| 68.0ms | D |
| 23.0ms | h |
| 13.0ms | d |
| 13.0ms | w0 |
| 12.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 83.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 83.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 80.8% | 2 | d |
| 80.8% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 81.4% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 81.4% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 82.5% | 2 | D |
| 82.2% | 2 | M |
| 78.5% | 1 | h |
| 78.5% | 1 | w0 |
| 83.6% | 2 | (*.f64 M D) |
Compiled 143 to 110 computations (23.1% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
5 calls:
| 120.0ms | (*.f64 M D) |
| 14.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 9.0ms | D |
| 8.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 2 | D |
| 81.9% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 81.9% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 82.5% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 82.1% | 2 | (*.f64 M D) |
Compiled 78 to 57 computations (26.9% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 10.0ms | D |
| 10.0ms | l |
| 10.0ms | (*.f64 #s(literal 2 binary64) d) |
| 10.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 9.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 1 | h |
| 72.9% | 1 | w0 |
| 72.9% | 1 | l |
| 74.8% | 2 | d |
| 74.8% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 78.0% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 77.2% | 2 | D |
| 78.0% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 78.0% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 80.1% | 3 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 80.1% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 78.1% | 2 | (*.f64 M D) |
| 78.1% | 2 | M |
| 76.9% | 2 | (/.f64 h l) |
| 79.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 183 to 140 computations (23.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l)))) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 6.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l))))) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l))))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 2.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 2.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 78.4% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 78.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 62 to 44 computations (29% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 4.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 1.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 1.0ms | D |
| 1.0ms | h |
| 1.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 1 | h |
| 65.5% | 1 | w0 |
| 65.5% | 1 | l |
| 65.5% | 1 | d |
| 65.5% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 65.5% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 65.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 65.5% | 1 | (/.f64 h l) |
| 65.5% | 1 | D |
| 65.5% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 65.5% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 65.5% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 65.5% | 1 | (*.f64 M D) |
| 65.5% | 1 | M |
| 65.5% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 183 to 140 computations (23.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6357479442579705e-11 | 2.5364874891596216e-8 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.932997741105969e+159 | 1.1420992114542453e+160 |
| 0.0ms | 2.109281033655749e-206 | 6.060029876127371e-203 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.086736860119873e+99 | 3.621113053978931e+100 |
| 0.0ms | 8.246724017463582e-163 | 2.6879010187131103e-157 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.086736860119873e+99 | 3.621113053978931e+100 |
| 0.0ms | 8.246724017463582e-163 | 2.6879010187131103e-157 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02144215413103964 | -1.7114865611770995e-66 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4870818083799383e+155 | 2.932997741105969e+159 |
| 0.0ms | 2.109281033655749e-206 | 6.060029876127371e-203 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4870818083799383e+155 | 2.932997741105969e+159 |
| 0.0ms | 2.109281033655749e-206 | 6.060029876127371e-203 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.055235890235074e+143 | 1.056631274256649e+152 |
| 0.0ms | 2.109281033655749e-206 | 6.060029876127371e-203 |
Compiled 27 to 26 computations (3.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.588866454236566e+112 | 8.619077292501806e+114 |
| 0.0ms | 3.1010635105512915e-120 | 1.1760283444954216e-118 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.109281033655749e-206 | 6.060029876127371e-203 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8314220336352503000.0 | -0.02144215413103964 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.5814850886314296e+75 | -3.575586140296642e+69 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.7217171312483e+118 | -4.2240031734833116e+104 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.111110001205736e+120 | -2.7217171312483e+118 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.111110001205736e+120 | -2.7217171312483e+118 |
Compiled 27 to 26 computations (3.7% saved)
| 1× | egg-herbie |
| 230× | *-commutative_binary64 |
| 56× | neg-sub0_binary64 |
| 56× | neg-mul-1_binary64 |
| 54× | +-commutative_binary64 |
| 54× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 1377 |
| 1 | 356 | 1377 |
| 2 | 385 | 1377 |
| 3 | 428 | 1377 |
| 4 | 467 | 1377 |
| 5 | 495 | 1377 |
| 6 | 522 | 1377 |
| 7 | 543 | 1377 |
| 8 | 554 | 1377 |
| 9 | 559 | 1377 |
| 10 | 560 | 1377 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) (if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) (if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 M D) #s(literal 7268387242956069/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 D (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))) D #s(literal 1 binary64)))))) |
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(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) l))) h #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (neg.f64 D) (/.f64 (/.f64 h l) d)) #s(literal 1 binary64)))))) |
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(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d)))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (/.f64 D d) (*.f64 D (*.f64 (*.f64 M (*.f64 #s(literal -1/8 binary64) (*.f64 w0 M))) (/.f64 h (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 h (*.f64 w0 (*.f64 D (*.f64 M (*.f64 M D))))) (*.f64 l (*.f64 d d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 w0 h))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 10 592× | lower-*.f64 |
| 10 592× | lower-*.f32 |
| 10 432× | lower-*.f64 |
| 10 432× | lower-*.f32 |
| 8 912× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1289 | 38925 |
| 1 | 4544 | 38089 |
| 0 | 8879 | 37023 |
| 0 | 63 | 437 |
| 0 | 107 | 439 |
| 1 | 359 | 409 |
| 2 | 3068 | 392 |
| 0 | 8459 | 392 |
| 0 | 628 | 8158 |
| 1 | 2189 | 8136 |
| 0 | 8486 | 7930 |
| 0 | 659 | 35067 |
| 1 | 2282 | 34837 |
| 0 | 8195 | 33789 |
| 0 | 83 | 599 |
| 0 | 133 | 597 |
| 1 | 464 | 528 |
| 2 | 3518 | 528 |
| 0 | 11268 | 521 |
| 0 | 72 | 604 |
| 0 | 124 | 564 |
| 1 | 432 | 548 |
| 2 | 3419 | 548 |
| 0 | 8212 | 548 |
| 0 | 17 | 78 |
| 0 | 26 | 78 |
| 1 | 82 | 78 |
| 2 | 550 | 78 |
| 3 | 7073 | 78 |
| 0 | 8661 | 78 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 878 to 1 425 computations (50.5% saved)
(negabs w0)
(abs d)
Compiled 6 122 to 2 706 computations (55.8% saved)
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