
Time bar (total: 14.7s)
| 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)
| 1.2s | 8 256× | 0 | valid |
| 334.0ms | 2 824× | 0 | invalid |
ival-mult: 416.0ms (40% of total)ival-div: 228.0ms (21.9% of total)ival-pow2: 170.0ms (16.3% of total)ival-sqrt: 106.0ms (10.2% of total)ival-sub: 94.0ms (9% of total)exact: 12.0ms (1.2% of total)ival-true: 9.0ms (0.9% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 48 | 0 | - | 3 | (-1.1118534269160674e-274 -1.8734647777073985e-6 1.951753233453147e+125 2.2160280423132418e+248 1.851220067281616e+183 2.795985349716014e+279) | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 20 | 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 | (-2.0326476253527784e-292 1.979837607174409e-175 -1.5525575939609338e-136 2.1206205803476868e+115 -3.7481666557974314e-20 2.4678183846480807e-63) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 5 | 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 | 20 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 50 | |
| ↳ | (-.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 | 48 | |
| ↳ | (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 | 28 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
| ↳ | (*.f64 M D) | overflow | 21 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 25 | |
| ↳ | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | overflow | 48 | |
| ↳ | (/.f64 h l) | overflow | 31 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*o | 7 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 7 | 0 |
| ↳ | (*.f64 M D) | overflow | 21 | |
*.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 | 5 | 0 |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | o*u | 4 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 50 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
| ↳ | (*.f64 M D) | overflow | 21 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 25 | |
| ↳ | (/.f64 h l) | underflow | 42 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 2 | 0 |
| ↳ | (*.f64 M D) | underflow | 38 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | u*o | 1 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 102 | |
| ↳ | (*.f64 M D) | underflow | 38 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 59 | |
| ↳ | (/.f64 h l) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 14 |
| - | 6 | 202 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 14 |
| - | 6 | 0 | 202 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 34 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 88.0ms | 512× | 0 | valid |
Compiled 212 to 55 computations (74.1% saved)
ival-mult: 16.0ms (42.4% of total)ival-div: 9.0ms (23.8% of total)ival-pow2: 5.0ms (13.2% of total)ival-sqrt: 4.0ms (10.6% of total)ival-sub: 2.0ms (5.3% of total)ival-true: 1.0ms (2.6% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
(abs d)
(abs D)
(abs M)
(negabs w0)
(sort M D)
Compiled 18 to 17 computations (5.6% saved)
Compiled 0 to 6 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.7% | (*.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 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | |
| 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))))) |
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 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
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 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #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 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #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 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) 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 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 M D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
d |
(/.f64 h l) |
h |
l |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1754956902450138 | (*.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 | 4.1831985504911895 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 4.7139048079726065 | (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 | 11.01371556969939 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 48.0ms | 256× | 0 | valid |
Compiled 97 to 19 computations (80.4% saved)
ival-mult: 11.0ms (54.9% of total)ival-div: 4.0ms (19.9% of total)ival-sqrt: 2.0ms (10% of total)ival-pow2: 2.0ms (10% of total)ival-sub: 1.0ms (5% 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 (*.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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#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>) () ())) ()) |
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18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | h | @ | inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 6.0ms | l | @ | 0 | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 5.0ms | D | @ | inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 4.0ms | M | @ | -inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 4.0ms | M | @ | 0 | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 626 | 7690 |
| 1 | 2185 | 7668 |
| 0 | 8475 | 7462 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* 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))))))))) |
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))))))))) |
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))) |
(* (/ (* 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)))))))) |
(* (/ (* 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)))))))) |
(* -1/4 (/ (* (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))) |
(* 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 (* 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))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* -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))) |
(* 1/4 (/ (* (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))))))))) |
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))))))))) |
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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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))) |
(* 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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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))) |
(* 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)) |
(* (/ (* 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) |
(* (/ (* 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) |
(* -1/4 (/ (* (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) |
(* 1/4 (/ (* (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 (+ (* -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))))))) |
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 (* -1/4 (/ (* (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))) |
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 (* -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))) |
(* 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 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))))))))) |
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))))))))) |
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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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))) |
(* 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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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))) |
(* 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)) |
(* (/ (* 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) |
(* (/ (* 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) |
(* -1/4 (/ (* (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)) |
(* 1/4 (/ (* (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)) |
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))))))) |
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 (* -1/4 (/ (* (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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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))))))) |
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 (* -1/4 (/ (* (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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) l) (/.f64 h l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) h 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))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 (*.f64 M M) w0) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 l l))))) h)) h w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M l) (/.f64 M (*.f64 d d))))) h #s(literal 1 binary64)) |
(+ 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))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 M M) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) h)) h #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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
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w0 |
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1 |
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 69 |
| 0 | 26 | 69 |
| 1 | 82 | 69 |
| 2 | 550 | 69 |
| 3 | 7047 | 69 |
| 0 | 8635 | 69 |
| 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))))) |
(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 |
|---|
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
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(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (/.f64 l h) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 l h) (*.f64 (*.f64 d #s(literal 2 binary64)) d))) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (/.f64 l h) (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))) |
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) l) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (neg.f64 l) h)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 l h) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 (neg.f64 M) D)))) |
(/.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 l h)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (/.f64 l h) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) |
(/.f64 (*.f64 D M) (*.f64 (/.f64 l h) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 D M)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64))) |
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) M))) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.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 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #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 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 M) D) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D M) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 M) (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 (neg.f64 M) (/.f64 D (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 (neg.f64 D) (/.f64 M (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (neg.f64 D) (*.f64 M (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (pow.f64 (*.f64 D M) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D M)) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) |
(*.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(*.f64 (*.f64 D M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) M))) |
(*.f64 D (*.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64))) |
(*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 D d))) |
(*.f64 M (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) |
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (pow.f64 d #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 d #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d M) D))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d) |
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64))) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D)) |
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) |
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
Compiled 20 475 to 2 864 computations (86% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 17 | 692 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 676 | 17 | 693 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) | |
| 88.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64)))) | |
| ▶ | 81.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
| 78.3% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) | |
| 80.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) | |
| ▶ | 92.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
| ▶ | 81.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) |
| 91.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))))))) | |
| 78.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))))) | |
| 80.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))))) | |
| 58.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) | |
| ▶ | 68.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
| 60.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) | |
| 12.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) | |
| 56.8% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) | |
| ▶ | 72.7% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 56.5% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 762 to 630 computations (17.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) | |
| cost-diff | 1088 | (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) | |
| cost-diff | 384 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 587 |
| 0 | 102 | 590 |
| 1 | 211 | 590 |
| 2 | 743 | 569 |
| 3 | 5540 | 569 |
| 0 | 8180 | 560 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 D #s(literal 1/2 binary64)) |
(*.f64 (/.f64 M d) h) |
(/.f64 M d) |
h |
(neg.f64 l) |
l |
#s(literal 1 binary64) |
(*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 l (*.f64 d d)) |
l |
(*.f64 d d) |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
(*.f64 D M) |
D |
M |
#s(literal -1/2 binary64) |
d |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
D |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
(*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) |
(/.f64 (/.f64 d M) D) |
(/.f64 d M) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M d) l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 D #s(literal 1/2 binary64)) |
(*.f64 (/.f64 M d) h) |
(*.f64 h (/.f64 M d)) |
(/.f64 M d) |
h |
(neg.f64 l) |
l |
#s(literal 1 binary64) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) |
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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64)) D) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64)) D) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64)) D) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64)) D) d) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) M) (*.f64 D M)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 d d) l) |
l |
(*.f64 d d) |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 D M)) |
(*.f64 D M) |
D |
M |
#s(literal -1/2 binary64) |
d |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 M d))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 D l) d)) M) (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 M d)))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
D |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
(*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) |
(/.f64 (/.f64 d M) D) |
(/.f64 d M) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.7139048079726065 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) | |
| accuracy | 6.404816724147504 | (/.f64 (/.f64 d M) D) | |
| accuracy | 7.425252858038207 | (*.f64 (/.f64 h l) D) | |
| accuracy | 8.517441592665357 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) | |
| accuracy | 4.184170868059897 | (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) | |
| accuracy | 7.425252858038207 | (*.f64 (/.f64 h l) D) | |
| accuracy | 8.517441592665357 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) | |
| accuracy | 7.771453932868268 | (*.f64 l (*.f64 d d)) | |
| accuracy | 8.327520350886033 | (*.f64 (*.f64 M M) D) | |
| accuracy | 12.757157980859258 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) | |
| accuracy | 1.1754956902450138 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) | |
| accuracy | 17.56044070187702 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) | |
| accuracy | 4.951927268933901 | (*.f64 (/.f64 M d) h) | |
| accuracy | 6.029043516515491 | (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) | |
| accuracy | 6.182535939161137 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
| 164.0ms | 256× | 0 | valid |
Compiled 535 to 60 computations (88.8% saved)
ival-mult: 60.0ms (49% of total)ival-sqrt: 36.0ms (29.4% of total)ival-div: 16.0ms (13.1% of total)ival-add: 3.0ms (2.4% of total)ival-sub: 2.0ms (1.6% of total)ival-pow2: 2.0ms (1.6% 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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #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 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ()) |
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 h l) D) (patch (*.f64 (/.f64 h l) D) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 d M) D) (patch (/.f64 (/.f64 d M) D) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#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 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | M | @ | inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (/ (* (* D M) -1/2) d) (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)) (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D) (/ (/ d M) D)) |
| 11.0ms | M | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (/ (* (* D M) -1/2) d) (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)) (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D) (/ (/ d M) D)) |
| 11.0ms | D | @ | inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (/ (* (* D M) -1/2) d) (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)) (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D) (/ (/ d M) D)) |
| 6.0ms | D | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (/ (* (* D M) -1/2) d) (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)) (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D) (/ (/ d M) D)) |
| 5.0ms | D | @ | -inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (/ (* (* D M) -1/2) d) (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)) (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* (* M M) D) (* l (* d d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D) (/ (/ d M) D)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 657 | 36719 |
| 1 | 2268 | 36447 |
| 0 | 8152 | 35357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* -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))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
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(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
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(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
1 |
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w0 |
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1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(+ 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))))))))) |
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))))))))) |
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))))))))) |
1 |
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(+ 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))))))))) |
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))))))))) |
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 |
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(+ 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))))))))) |
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))))))))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* 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 |
(+ 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)))) |
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))))))))) |
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))))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
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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)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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) (+ (* -1/4 (/ (* (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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* 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 (* 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 (* 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 (* 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)))))))) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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1 |
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1 |
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w0 |
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1 |
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
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1 |
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w0 |
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1 |
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w0 |
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1 |
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1 |
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w0 |
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1 |
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1 |
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1 |
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w0 |
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1 |
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(+ 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))))))))) |
(* -1/2 (/ (* D M) d)) |
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1 |
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w0 |
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1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(+ 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))))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
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(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
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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)))) |
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(* (/ (* D (* 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)))))) |
(* 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 (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))))) |
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(* 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 (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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 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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))) |
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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) |
(/ (+ (* (* 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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(/ (+ (* (* 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) |
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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) |
(/ (+ (* (* 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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(+ 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 (+ (* -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))))))) |
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 (* -1/4 (/ (* (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)))) |
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))))))) |
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))))))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* 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 |
(+ 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)))) |
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))))))) |
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))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
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#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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#s(literal 1 binary64) |
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(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 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))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (*.f64 l l)) (/.f64 h (pow.f64 d #s(literal 4 binary64)))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M) #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 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #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 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h D) D)) w0) (*.f64 l (*.f64 d d)))) (*.f64 M M) 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))))))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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))))))) |
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(+ 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))))))))) |
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(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) 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))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h D) D)) w0) (*.f64 l (*.f64 d d)))) (*.f64 M M) 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 h l) (/.f64 h l))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h D) D)) w0) (*.f64 l (*.f64 d d)))) (*.f64 M M) w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 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))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (*.f64 l l)) (/.f64 h (pow.f64 d #s(literal 4 binary64)))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 l (*.f64 d d))))) (*.f64 M M) #s(literal 1 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(* D (pow M 2)) |
(*.f64 (*.f64 M D) M) |
(* D (pow M 2)) |
(*.f64 (*.f64 M D) M) |
(* D (pow M 2)) |
(*.f64 (*.f64 M D) M) |
(* D (pow M 2)) |
(*.f64 (*.f64 M D) M) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* 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 (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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(* 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))))))) |
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(* (/ (* D (* M (* 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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(* (/ (* 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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(* 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))))))) |
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(* -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)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* 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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(* (/ (* 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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(* 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))))))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* -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)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* -1/2 (/ (* D M) d)) |
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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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w0 |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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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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#s(literal 1 binary64) |
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w0 |
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#s(literal 1 binary64) |
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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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* D (+ (* 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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(* 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)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* D (+ (* 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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(* 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)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D) |
(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D) |
(* 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)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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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(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #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 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64))) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
(/ d (* D M)) |
(/.f64 d (*.f64 M D)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 463 |
| 0 | 102 | 466 |
| 1 | 338 | 405 |
| 2 | 2778 | 395 |
| 0 | 9037 | 381 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #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)) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 M d) h) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 M M) D) |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
(/.f64 (/.f64 d M) D) |
| Outputs |
|---|
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(*.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 h D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))) |
(/.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)) #s(literal -1 binary64)) |
(/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) |
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 l h)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (/.f64 h l) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d))) |
(*.f64 (*.f64 h D) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 h l) D) |
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) D)) |
(*.f64 h (/.f64 D l)) |
(*.f64 D (/.f64 h l)) |
(pow.f64 (/.f64 l (*.f64 h D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) l) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) l) |
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) l) |
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h)) |
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l)) |
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (neg.f64 (*.f64 (/.f64 h l) D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l)) |
(/.f64 (*.f64 h D) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 h D)))) |
(/.f64 (neg.f64 D) (neg.f64 (/.f64 l h))) |
(/.f64 (*.f64 (/.f64 h l) D) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (neg.f64 h) D))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 #s(literal 1 binary64) D))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 D (neg.f64 h)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 D #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 h D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) D)) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D))) |
(/.f64 D (/.f64 l h)) |
(*.f64 (pow.f64 (/.f64 D (neg.f64 d)) #s(literal -1 binary64)) (pow.f64 (neg.f64 M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 D d) #s(literal -1 binary64)) (pow.f64 M #s(literal -1 binary64))) |
(*.f64 (pow.f64 D #s(literal -1 binary64)) (/.f64 d M)) |
(*.f64 (/.f64 (neg.f64 d) M) (/.f64 #s(literal -1 binary64) D)) |
(*.f64 (/.f64 d M) (pow.f64 D #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 d M) D)) |
(*.f64 d (/.f64 (pow.f64 M #s(literal -1 binary64)) D)) |
(*.f64 d (pow.f64 (*.f64 D M) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 M d) D) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) (pow.f64 D #s(literal -1 binary64)))) (neg.f64 (neg.f64 M))) |
(/.f64 (neg.f64 (*.f64 d (pow.f64 D #s(literal -1 binary64)))) (neg.f64 M)) |
(/.f64 (neg.f64 (*.f64 (/.f64 d M) #s(literal 1 binary64))) (neg.f64 D)) |
(/.f64 (neg.f64 (/.f64 d D)) (neg.f64 M)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 D) M))) |
(/.f64 (neg.f64 (*.f64 d #s(literal 1 binary64))) (*.f64 (neg.f64 D) M)) |
(/.f64 (neg.f64 (pow.f64 D #s(literal -1 binary64))) (neg.f64 (/.f64 M d))) |
(/.f64 (*.f64 (neg.f64 d) (pow.f64 D #s(literal -1 binary64))) (neg.f64 M)) |
(/.f64 (*.f64 d (pow.f64 D #s(literal -1 binary64))) M) |
(/.f64 (*.f64 (/.f64 d M) #s(literal 1 binary64)) D) |
(/.f64 (/.f64 d D) M) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 (neg.f64 D) M))) |
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 D) M)) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 D M)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 M d) D))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 D d) M))) |
(/.f64 (pow.f64 D #s(literal -1 binary64)) (/.f64 M d)) |
(/.f64 (/.f64 (neg.f64 d) M) (neg.f64 (neg.f64 (neg.f64 D)))) |
(/.f64 (/.f64 (neg.f64 d) M) (neg.f64 D)) |
(/.f64 (neg.f64 d) (*.f64 (neg.f64 D) M)) |
(/.f64 (/.f64 d M) (neg.f64 (neg.f64 D))) |
(/.f64 (/.f64 d M) D) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 M) (*.f64 (neg.f64 d) (pow.f64 D #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 d (pow.f64 D #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 d M) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 M (/.f64 d D))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 D) M) (*.f64 (neg.f64 d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 D M) (*.f64 d #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 M d) (pow.f64 D #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 M d) D) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 D d) M)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) D)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) |
(/.f64 d (*.f64 D M)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 d) M) D)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 D)) (/.f64 (/.f64 (neg.f64 d) M) D)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 D) M)) (/.f64 d (*.f64 (neg.f64 D) M))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D d) M)) #s(literal -1 binary64))) |
Compiled 80 217 to 5 180 computations (93.5% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 627 | 18 | 2 645 |
| Fresh | 10 | 2 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 640 | 22 | 2 662 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) | |
| 80.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64)))) | |
| 80.3% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) | |
| 90.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) | |
| 79.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) | |
| ▶ | 92.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
| ✓ | 92.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
| 86.5% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) | |
| ▶ | 78.7% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
| 86.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))) | |
| 58.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) | |
| 13.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) | |
| 72.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| 74.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| ▶ | 70.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
| ▶ | 79.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
| 57.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) | |
| 70.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64))))) | |
| 12.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) | |
| 56.8% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) | |
| ✓ | 72.7% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ▶ | 56.5% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 952 to 799 computations (16.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) | |
| cost-diff | 192 | (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 D D) | |
| cost-diff | 0 | (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) | |
| cost-diff | 576 | (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 692 |
| 0 | 135 | 695 |
| 1 | 286 | 695 |
| 2 | 1008 | 680 |
| 3 | 4492 | 680 |
| 0 | 8600 | 679 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(/.f64 d M) |
d |
M |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 M d) h) |
(/.f64 M d) |
h |
(neg.f64 l) |
l |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/.f64 (*.f64 h (*.f64 M M)) l) |
(*.f64 h (*.f64 M M)) |
h |
(*.f64 M M) |
M |
l |
(/.f64 w0 (*.f64 d d)) |
w0 |
(*.f64 d d) |
d |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 (*.f64 D M) M) D) |
(*.f64 (*.f64 D M) M) |
(*.f64 D M) |
D |
M |
(*.f64 l (*.f64 d d)) |
l |
(*.f64 d d) |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) |
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 l d) |
l |
d |
(/.f64 D d) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) |
(*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
M |
(*.f64 D (/.f64 #s(literal -1/2 binary64) d)) |
D |
(/.f64 #s(literal -1/2 binary64) d) |
#s(literal -1/2 binary64) |
d |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) d))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) d))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) d))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 d D)) M) |
(*.f64 D #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) D) |
D |
#s(literal 1/2 binary64) |
(/.f64 d M) |
d |
M |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 h (/.f64 (/.f64 D d) l))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) D)) d) M) |
(*.f64 (/.f64 M d) h) |
(*.f64 h (/.f64 M d)) |
(/.f64 M d) |
h |
(neg.f64 l) |
l |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 w0 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d)) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 w0 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d)) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(*.f64 (/.f64 h d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) w0) d)) |
(/.f64 (*.f64 h (*.f64 M M)) l) |
(/.f64 (*.f64 (*.f64 M M) h) l) |
(*.f64 h (*.f64 M M)) |
(*.f64 (*.f64 M M) h) |
h |
(*.f64 M M) |
M |
l |
(/.f64 w0 (*.f64 d d)) |
w0 |
(*.f64 d d) |
d |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) (/.f64 (*.f64 D D) l)) |
(*.f64 (*.f64 (*.f64 D M) M) D) |
(*.f64 (*.f64 (*.f64 M D) M) D) |
(*.f64 (*.f64 D M) M) |
(*.f64 (*.f64 M D) M) |
(*.f64 D M) |
(*.f64 M D) |
D |
M |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 d d) l) |
l |
(*.f64 d d) |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 h d) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) |
(*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) (/.f64 (*.f64 D D) l)) |
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) |
(*.f64 (/.f64 (/.f64 M l) d) (*.f64 M D)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 M D) M) |
(*.f64 M M) |
M |
D |
(*.f64 l d) |
l |
d |
(/.f64 D d) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) d))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) d))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D (/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) d))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)) |
(*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) M) |
M |
(*.f64 D (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 D d)) |
D |
(/.f64 #s(literal -1/2 binary64) d) |
#s(literal -1/2 binary64) |
d |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) (/.f64 #s(literal 1/2 binary64) l)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.962104506569832 | (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) | |
| accuracy | 7.425252858038207 | (*.f64 (/.f64 h l) D) | |
| accuracy | 8.517441592665357 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) | |
| accuracy | 6.826123626196576 | (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) | |
| accuracy | 8.327520350886033 | (*.f64 (*.f64 M M) D) | |
| accuracy | 9.652152987976677 | (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) | |
| accuracy | 2.6076431598527736 | (*.f64 (*.f64 (*.f64 D M) M) D) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) | |
| accuracy | 7.771453932868268 | (*.f64 l (*.f64 d d)) | |
| accuracy | 12.757157980859258 | (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) | |
| accuracy | 8.04378237048829 | (*.f64 h (*.f64 M M)) | |
| accuracy | 10.199047826559966 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) | |
| accuracy | 11.666662884352071 | (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) | |
| accuracy | 12.736295712528412 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) | |
| accuracy | 4.951927268933901 | (*.f64 (/.f64 M d) h) | |
| accuracy | 6.029043516515491 | (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) | |
| accuracy | 6.854621921495158 | (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
| 137.0ms | 256× | 0 | valid |
Compiled 568 to 77 computations (86.4% saved)
ival-mult: 59.0ms (57.2% of total)ival-div: 23.0ms (22.3% of total)ival-sqrt: 8.0ms (7.8% of total)ival-add: 6.0ms (5.8% of total)ival-sub: 2.0ms (1.9% of total)ival-pow2: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #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 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (patch (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (patch (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 D M) M) D) (patch (*.f64 (*.f64 (*.f64 D M) M) D) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 h l) D) (patch (*.f64 (/.f64 h l) D) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
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18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | l | @ | -inf | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* (* M M) D) (* l d)) (/ D d))) 1) (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* M (* D (/ -1/2 d))) (/ (* D 1/2) (/ d M)) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D M) M) D) (* l (* d d))) (* l (* d d)) (* (* (* D M) M) D) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ (* (* M M) D) (* l d)) (/ D d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 9.0ms | D | @ | -inf | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* (* M M) D) (* l d)) (/ D d))) 1) (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* M (* D (/ -1/2 d))) (/ (* D 1/2) (/ d M)) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D M) M) D) (* l (* d d))) (* l (* d d)) (* (* (* D M) M) D) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ (* (* M M) D) (* l d)) (/ D d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 8.0ms | d | @ | -inf | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* (* M M) D) (* l d)) (/ D d))) 1) (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* M (* D (/ -1/2 d))) (/ (* D 1/2) (/ d M)) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D M) M) D) (* l (* d d))) (* l (* d d)) (* (* (* D M) M) D) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ (* (* M M) D) (* l d)) (/ D d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 6.0ms | w0 | @ | 0 | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* (* M M) D) (* l d)) (/ D d))) 1) (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* M (* D (/ -1/2 d))) (/ (* D 1/2) (/ d M)) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D M) M) D) (* l (* d d))) (* l (* d d)) (* (* (* D M) M) D) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ (* (* M M) D) (* l d)) (/ D d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 6.0ms | M | @ | -inf | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* D M) M) D) (* l (* d d)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* (* M M) D) (* l d)) (/ D d))) 1) (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (* M (* D (/ -1/2 d))) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* M (* D (/ -1/2 d))) (/ (* D 1/2) (/ d M)) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (* h (* M M)) (/ (* (* (* D M) M) D) (* l (* d d))) (* l (* d d)) (* (* (* D M) M) D) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ (* (* M M) D) (* l d)) (/ D d)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 685 | 37710 |
| 1 | 2360 | 37494 |
| 0 | 8502 | 36372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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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))))))))) |
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))))))))) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) 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))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 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))))))) |
(* 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)))))))) |
(* (/ (* 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)))))))) |
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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))))))) |
(* 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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(* 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)))))))) |
(* (/ (* 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)))))))) |
(* -1/4 (/ (* (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))) |
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* (/ (* 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)))))))) |
(* (/ (* 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)))))))) |
(* -1/4 (/ (* (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))) |
(* 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))) |
(* (/ (* 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)))))))) |
(* (/ (* 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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(* -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)))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d 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))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* -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))))))))) |
(* -1/8 (/ (* (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)))))) |
(* -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))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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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)))) |
(* -1/2 (* (/ (* 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))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* -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)))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* -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)))) |
(* -1/2 (* (/ (* 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))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* -1/2 (/ (* D (* M h)) (* d 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))))))))) |
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))))))))) |
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))))))))) |
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)))) |
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))))))))) |
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))))))))) |
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)))) |
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))))))))) |
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))))))))) |
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)))) |
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))))))))) |
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))))))))) |
(* -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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d 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)))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/8 (/ (* (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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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) (+ (* -1/4 (/ (* (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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
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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)))))) |
(* 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 (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))))))) |
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(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
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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)))))) |
(* -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)))))))) |
(* -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 (* (/ (* 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)))))))) |
(* -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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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) (+ (* -1/4 (/ (* (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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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) (+ (* -1/4 (/ (* (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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/2 (/ (* 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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
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(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d 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) |
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(/ (+ (* (/ (* 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) |
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
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(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
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(/ (* D h) l) |
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(/ (* D h) l) |
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1 |
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w0 |
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w0 |
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1 |
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w0 |
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1 |
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(* (pow d 2) l) |
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1 |
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w0 |
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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 |
(+ 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))) |
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1 |
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1 |
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w0 |
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1 |
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1 |
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w0 |
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1 |
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
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(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
1 |
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w0 |
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1 |
(+ 1 (* -1/8 (/ (* (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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(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
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))))))))) |
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))))))))) |
1 |
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1 |
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w0 |
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(+ 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))))))))) |
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))))))))) |
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 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(+ 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))))))))) |
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))))))))) |
(* -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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) 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)))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/8 (/ (* (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)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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 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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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))))) |
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(* (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 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)))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
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(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/2 (/ (* 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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(* D (pow M 2)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) l) |
(/ (* D h) 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)))) |
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(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d 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)))))))) |
(* -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 (* (/ (* 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)))))))) |
(* -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)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* -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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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 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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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 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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* -1/2 (/ (* 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 h)) 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) |
(/ (+ (* (* 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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(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
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1 |
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w0 |
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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 |
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1 |
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w0 |
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1 |
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1 |
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1 |
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1 |
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w0 |
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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))))))) |
(* -1/2 (/ (* 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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d 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)))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (/ (* D (* M h)) (* d 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))))))) |
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))))))) |
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)))) |
(+ w0 (* -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))) (* -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))))))) |
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 (* -1/4 (/ (* (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)))) |
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))))))) |
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 (* -1/4 (/ (* (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)))) |
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))))))) |
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))))))) |
(* -1/2 (/ (* 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 h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(* (pow d 2) l) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0) |
(* 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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#s(literal 1 binary64) |
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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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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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1 |
#s(literal 1 binary64) |
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(* 1/2 (/ (* D (* M h)) d)) |
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(* 1/2 (/ (* D (* M h)) d)) |
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(/ (* M h) d) |
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(* (pow M 2) h) |
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(* (pow M 2) h) |
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(* (pow M 2) h) |
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
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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 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
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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) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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)))) |
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (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) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h D) D) l))) (*.f64 M M) #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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))))))) |
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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 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(+ 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))))))) |
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(* -1/2 (/ (* D M) d)) |
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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))))) (+ (* 1/2 (* (/ (* 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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(* (/ (* D (* M (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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(* 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))))))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* -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)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* 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 (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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* 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)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* 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))))))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64)) |
(* -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)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
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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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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) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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w0 |
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1 |
#s(literal 1 binary64) |
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
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(* (pow d 2) l) |
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(* 1/2 (/ (* D (* M h)) (* d l))) |
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(/ (* D h) l) |
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(/ (* D h) l) |
(/.f64 (*.f64 h D) l) |
1 |
#s(literal 1 binary64) |
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w0 |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (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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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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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w0 |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (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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w0 |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(+ 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))) |
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w0 |
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1 |
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(* -1/2 (/ (* D M) d)) |
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(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)) |
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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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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* D (+ (* 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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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) l) (/.f64 w0 (*.f64 D D))) (*.f64 D D)) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) l) (/.f64 w0 (*.f64 D D))) (*.f64 D D)) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) l) (/.f64 w0 (*.f64 D D))) (*.f64 D D)) |
(* -1/8 (pow D 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(* -1/8 (pow D 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(* -1/8 (pow D 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(* -1/8 (pow D 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(pow D 2) |
(*.f64 D D) |
(pow D 2) |
(*.f64 D D) |
(pow D 2) |
(*.f64 D D) |
(pow D 2) |
(*.f64 D D) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D) |
(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D) |
(* 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)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) 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))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D) |
(* 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 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D) |
(* 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)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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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#s(literal 1 binary64) |
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(+ 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 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) 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 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) 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 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64))) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(/ (* D (pow M 2)) (* d l)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)) |
(/ (* D (pow M 2)) (* d l)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)) |
(/ (* D (pow M 2)) (* d l)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)) |
(/ (* D (pow M 2)) (* d l)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) l) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 578 |
| 0 | 135 | 581 |
| 1 | 473 | 516 |
| 2 | 3788 | 516 |
| 0 | 8704 | 503 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) |
(*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 M d) h) |
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) |
(*.f64 h (*.f64 M M)) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 D M) M) D) |
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
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(*.f64 D (*.f64 (*.f64 M M) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 d (*.f64 D (/.f64 (*.f64 M M) l))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 M M) (/.f64 D d)) l) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) D) d) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) d) l) |
(/.f64 (neg.f64 (*.f64 D (/.f64 (*.f64 M M) l))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) M)) (neg.f64 (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 (*.f64 M M) #s(literal 1 binary64)) (*.f64 l (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 l d)) |
(/.f64 (*.f64 D (/.f64 (*.f64 M M) l)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)))) |
(/.f64 (/.f64 (*.f64 M M) l) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 M D) M) (*.f64 l d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D (/.f64 (*.f64 M M) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (*.f64 l d))) |
(neg.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (neg.f64 d) l))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) l)) (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (neg.f64 d) l))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))) #s(literal -1 binary64))) |
(*.f64 (*.f64 M D) M) |
(*.f64 (*.f64 M M) D) |
(*.f64 M (*.f64 M D)) |
(*.f64 D (*.f64 M M)) |
(*.f64 (*.f64 (/.f64 D d) (*.f64 M M)) (/.f64 (/.f64 D d) l)) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) |
(*.f64 (/.f64 (*.f64 M D) l) (/.f64 (*.f64 M D) (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) (/.f64 (/.f64 D d) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d d)) (/.f64 D l)) |
(*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d d))) |
(*.f64 (/.f64 (/.f64 D d) l) (/.f64 (*.f64 (*.f64 M D) M) d)) |
(*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 (*.f64 M D) M)) |
(*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (/.f64 (/.f64 D d) d)) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (pow.f64 d #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (pow.f64 (*.f64 l d) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 d #s(literal -2 binary64)) l) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 M M) l) (pow.f64 (/.f64 d D) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 D d) d) (*.f64 D (/.f64 (*.f64 M M) l))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (neg.f64 d) l) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d))) |
(*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 M D) M) (/.f64 (/.f64 D d) (*.f64 l d))) |
(*.f64 (*.f64 (*.f64 M D) M) (*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (/.f64 D d))) |
(*.f64 (*.f64 (*.f64 M D) M) (/.f64 (/.f64 (/.f64 D d) d) l)) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)) |
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 M D) (*.f64 M (/.f64 (/.f64 (/.f64 D d) d) l))) |
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 (pow.f64 d #s(literal -2 binary64)) l))) |
(*.f64 (*.f64 M M) (*.f64 (/.f64 (/.f64 D d) l) (/.f64 D d))) |
(*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (pow.f64 d #s(literal -2 binary64)))) |
(*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) |
(*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)))) |
(*.f64 D (*.f64 (*.f64 M M) (/.f64 (/.f64 (/.f64 D d) d) l))) |
(*.f64 D (*.f64 (*.f64 (*.f64 M D) M) (/.f64 (pow.f64 d #s(literal -2 binary64)) l))) |
(pow.f64 (/.f64 (*.f64 d d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 l d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 d D) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) d) d) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) l) d) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) l) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) (/.f64 (/.f64 D d) d)) l) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (/.f64 D d)) d) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (/.f64 D d)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 D (/.f64 (*.f64 M M) l))) d) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 (neg.f64 D) M) M)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) l) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) (*.f64 (neg.f64 d) d)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (*.f64 (neg.f64 d) l)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) l) d))) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 D (/.f64 (*.f64 M M) l))) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (neg.f64 D) M) M)) (*.f64 (neg.f64 d) (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 (neg.f64 D) #s(literal 1 binary64)) (*.f64 (neg.f64 d) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 D (/.f64 (*.f64 M M) l))) (*.f64 (/.f64 d D) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 D) M) M)) (*.f64 (/.f64 d D) (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) M)) (*.f64 (/.f64 d D) (*.f64 l d))) |
(/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 d (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)))) |
(/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) (neg.f64 D)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) (*.f64 d (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 D (/.f64 (*.f64 M M) l)) D) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 D) M) M) (neg.f64 D)) (*.f64 (*.f64 (neg.f64 d) l) (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 D) M) M) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 d) l) (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d D))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 D)) (*.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) (neg.f64 d))) |
(/.f64 (*.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)) d)) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (*.f64 d d)) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 l d)) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 d (*.f64 (neg.f64 d) l))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 d) l) d)) |
(/.f64 (/.f64 D d) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D))) |
(/.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (/.f64 d D)) |
(/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d D) (*.f64 (/.f64 l M) (/.f64 (/.f64 d M) D)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (*.f64 d d) l))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 d) l) d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) (*.f64 l d))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (neg.f64 d) (*.f64 l d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 d (*.f64 (neg.f64 d) l))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d (*.f64 (neg.f64 d) l)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 d) l) d)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 d) l) d))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 h l)) D) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) D)) M) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 h l) D)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 (/.f64 h l) D))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D)) (/.f64 h l)) |
(*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 h (/.f64 M d)) (/.f64 (*.f64 #s(literal 1/2 binary64) D) l)) |
(*.f64 h (pow.f64 (*.f64 l (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d M) D))) #s(literal -1 binary64))) |
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) D))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 h (/.f64 M d)) l)) |
(*.f64 D (*.f64 (/.f64 h l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) |
(*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) l)) |
(pow.f64 (*.f64 (/.f64 l h) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d M) D))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d M) D)) (/.f64 l h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 h l) D)) d) |
(/.f64 (*.f64 (neg.f64 h) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D))) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 h D)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 h D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) (neg.f64 l)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D)) (/.f64 l h)) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) l) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l)) |
(*.f64 (*.f64 h D) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 h l) D) |
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) D)) |
(*.f64 h (/.f64 D l)) |
(*.f64 D (/.f64 h l)) |
(pow.f64 (/.f64 l (*.f64 h D)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l)) |
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l)) |
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h)) |
(/.f64 (*.f64 h D) l) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D))) |
(/.f64 D (/.f64 l h)) |
Compiled 74 753 to 4 417 computations (94.1% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 588 | 23 | 2 611 |
| Fresh | 9 | 6 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 2 602 | 31 | 2 633 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) | |
| ▶ | 80.3% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
| ▶ | 92.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
| 79.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) | |
| ✓ | 78.7% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
| 79.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) | |
| 86.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))) | |
| 13.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) | |
| 85.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| 84.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) | |
| 76.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) | |
| 83.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) #s(literal 1 binary64))))) | |
| 73.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) | |
| 79.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) | |
| 73.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) | |
| 12.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) | |
| 56.8% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) | |
| 65.9% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) | |
| ✓ | 72.7% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 68.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) | |
| 57.4% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) | |
| ▶ | 60.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
| 61.5% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) | |
| 58.3% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) | |
| 54.2% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) | |
| 54.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)) w0)) | |
| 55.4% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) | |
| 70.1% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) | |
| ▶ | 66.8% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
| ▶ | 52.7% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
| 11.8% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
Compiled 1 329 to 1 099 computations (17.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) | |
| cost-diff | 0 | #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) | |
| cost-diff | 384 | (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) | |
| cost-diff | 0 | (*.f64 D D) | |
| cost-diff | 0 | (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) | |
| cost-diff | 0 | (*.f64 w0 #s(literal -1/8 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) | |
| cost-diff | 0 | (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) | |
| cost-diff | 384 | (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 746 |
| 0 | 133 | 746 |
| 1 | 292 | 742 |
| 2 | 1138 | 736 |
| 3 | 4868 | 736 |
| 0 | 8438 | 733 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(/.f64 d M) |
d |
M |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) |
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) |
(*.f64 #s(literal -1/2 binary64) D) |
#s(literal -1/2 binary64) |
(*.f64 h (/.f64 M d)) |
h |
(/.f64 M d) |
l |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) |
(*.f64 w0 #s(literal -1/8 binary64)) |
w0 |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) |
(*.f64 (*.f64 h (*.f64 M M)) D) |
(*.f64 h (*.f64 M M)) |
h |
(*.f64 M M) |
M |
D |
(*.f64 l (*.f64 d d)) |
l |
(*.f64 d d) |
d |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) |
(*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) |
(/.f64 w0 d) |
w0 |
d |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 l d) |
l |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) |
(*.f64 (*.f64 (*.f64 M M) w0) D) |
(*.f64 (*.f64 M M) w0) |
(*.f64 M M) |
M |
w0 |
D |
(*.f64 l (*.f64 d d)) |
l |
(*.f64 d d) |
d |
#s(literal -1/8 binary64) |
(/.f64 w0 h) |
h |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
(*.f64 D M) |
D |
M |
#s(literal -1/2 binary64) |
d |
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) |
(*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 h D) |
h |
(*.f64 M #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 l d) |
l |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) #s(literal -1/2 binary64)) D) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) #s(literal -1/2 binary64)) D) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) #s(literal -1/2 binary64)) D) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) #s(literal 1 binary64)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 d D)) M) |
(*.f64 D #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) D) |
D |
#s(literal 1/2 binary64) |
(/.f64 d M) |
d |
M |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) |
(*.f64 (*.f64 D (*.f64 #s(literal -1/2 binary64) (/.f64 M l))) (/.f64 h d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 D (/.f64 h d))) |
(*.f64 #s(literal -1/2 binary64) D) |
#s(literal -1/2 binary64) |
(*.f64 h (/.f64 M d)) |
(*.f64 (/.f64 M d) h) |
h |
(/.f64 M d) |
l |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 D (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l))) #s(literal 1 binary64)) w0))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 D (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l))) #s(literal 1 binary64)) w0)) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 D (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l))) #s(literal 1 binary64)) w0) |
(*.f64 w0 #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) w0) |
w0 |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) l)) |
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) |
(*.f64 (*.f64 (*.f64 D D) M) (*.f64 h M)) |
(*.f64 (*.f64 h (*.f64 M M)) D) |
(*.f64 (*.f64 (*.f64 M D) M) h) |
(*.f64 h (*.f64 M M)) |
(*.f64 (*.f64 M M) h) |
h |
(*.f64 M M) |
M |
D |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 d d) l) |
l |
(*.f64 d d) |
d |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 D (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l))) #s(literal 1 binary64)) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 D (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l))) #s(literal 1 binary64)) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) |
(*.f64 (/.f64 (*.f64 (/.f64 w0 d) M) l) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) |
(*.f64 (*.f64 (/.f64 w0 d) M) (*.f64 h M)) |
(/.f64 w0 d) |
w0 |
d |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 l d) |
l |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) d) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) d) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) d) (/.f64 w0 h)) h) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) d) (/.f64 w0 h)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 M (/.f64 (/.f64 M l) d)) (/.f64 (*.f64 (*.f64 D w0) D) d)) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) |
(*.f64 (*.f64 (*.f64 M M) w0) D) |
(*.f64 (*.f64 M M) w0) |
(*.f64 M M) |
M |
w0 |
D |
(*.f64 l (*.f64 d d)) |
(*.f64 (*.f64 d d) l) |
l |
(*.f64 d d) |
d |
#s(literal -1/8 binary64) |
(/.f64 w0 h) |
h |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) #s(literal -1/2 binary64)) D) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) #s(literal -1/2 binary64)) D) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 M l) d) #s(literal -1/2 binary64)) D) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 M D) #s(literal -1/2 binary64)) |
(*.f64 D M) |
(*.f64 M D) |
D |
M |
#s(literal -1/2 binary64) |
d |
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) d) (/.f64 D l)) |
(*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) |
(*.f64 h D) |
h |
(*.f64 M #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 l d) |
l |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.6515397491451584 | (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) | |
| accuracy | 4.184170868059897 | (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) | |
| accuracy | 9.224242563806257 | (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) | |
| accuracy | 7.771453932868268 | (*.f64 l (*.f64 d d)) | |
| accuracy | 10.199047826559966 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) | |
| accuracy | 12.560234417534838 | (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) | |
| accuracy | 13.248118520015908 | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) | |
| accuracy | 8.04378237048829 | (*.f64 (*.f64 M M) h) | |
| accuracy | 9.012018590675318 | (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) | |
| accuracy | 10.199047826559966 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) | |
| accuracy | 12.736295712528412 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) | |
| accuracy | 7.771453932868268 | (*.f64 l (*.f64 d d)) | |
| accuracy | 8.04378237048829 | (*.f64 h (*.f64 M M)) | |
| accuracy | 10.199047826559966 | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) | |
| accuracy | 14.050394205969459 | (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) | |
| accuracy | 4.7139048079726065 | (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) | |
| accuracy | 4.951927268933901 | (*.f64 h (/.f64 M d)) | |
| accuracy | 6.029043516515491 | (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) | |
| accuracy | 6.854621921495158 | (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
| 148.0ms | 256× | 0 | valid |
Compiled 605 to 79 computations (86.9% saved)
ival-mult: 61.0ms (57% of total)ival-div: 29.0ms (27.1% of total)ival-add: 9.0ms (8.4% of total)ival-sqrt: 5.0ms (4.7% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (patch (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (patch (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) #<representation binary64>) () ()) |
#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) (patch (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) #<representation binary64>) () ()) |
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) (patch (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) #<representation binary64>) () ()) |
#s(alt (*.f64 h (/.f64 M d)) (patch (*.f64 h (/.f64 M d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ()) |
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (patch (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) #<representation binary64>) () ())) ()) |
#s(alt (* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor 0 w0) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) #<representation binary64>) () ())) ()) |
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18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | w0 | @ | 0 | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1)) (/ (* D 1/2) (/ d M)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* (* D D) -1/8) (* D D) (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) h) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1)) (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (/ (* (* D M) -1/2) d) (* (* -1/2 D) (* h (/ M d))) (* h (/ M d)) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (/ w0 d) (* (* M M) h)) (* (* M M) h) (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) (/ (* (* h D) (* M 1/2)) (* l d)) (* (* h D) (* M 1/2))) |
| 9.0ms | d | @ | 0 | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1)) (/ (* D 1/2) (/ d M)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* (* D D) -1/8) (* D D) (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) h) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1)) (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (/ (* (* D M) -1/2) d) (* (* -1/2 D) (* h (/ M d))) (* h (/ M d)) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (/ w0 d) (* (* M M) h)) (* (* M M) h) (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) (/ (* (* h D) (* M 1/2)) (* l d)) (* (* h D) (* M 1/2))) |
| 8.0ms | M | @ | inf | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1)) (/ (* D 1/2) (/ d M)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* (* D D) -1/8) (* D D) (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) h) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1)) (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (/ (* (* D M) -1/2) d) (* (* -1/2 D) (* h (/ M d))) (* h (/ M d)) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (/ w0 d) (* (* M M) h)) (* (* M M) h) (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) (/ (* (* h D) (* M 1/2)) (* l d)) (* (* h D) (* M 1/2))) |
| 7.0ms | M | @ | 0 | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1)) (/ (* D 1/2) (/ d M)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* (* D D) -1/8) (* D D) (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) h) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1)) (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (/ (* (* D M) -1/2) d) (* (* -1/2 D) (* h (/ M d))) (* h (/ M d)) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (/ w0 d) (* (* M M) h)) (* (* M M) h) (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) (/ (* (* h D) (* M 1/2)) (* l d)) (* (* h D) (* M 1/2))) |
| 7.0ms | l | @ | -inf | ((+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1) (* w0 (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1))) (sqrt (+ (* (/ (* D 1/2) (/ d M)) (/ (* (* -1/2 D) (* h (/ M d))) l)) 1)) (/ (* D 1/2) (/ d M)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* (* (* h (* M M)) D) D) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* (* D D) -1/8) (* D D) (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) h) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1)) (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (/ (* (* D M) -1/2) d) (* (* -1/2 D) (* h (/ M d))) (* h (/ M d)) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* h (* M M)) (* l (* d d)) (* (/ w0 d) (* (* M M) h)) (* (* M M) h) (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) (/ (* (* h D) (* M 1/2)) (* l d)) (* (* h D) (* M 1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 700 | 33974 |
| 1 | 2411 | 33807 |
| 2 | 7820 | 33807 |
| 0 | 8073 | 32810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (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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(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
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(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
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(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
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(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
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(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
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1 |
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w0 |
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1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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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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(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
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))))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(/ w0 h) |
(/ (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) h) |
(/ (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) h) |
(/ (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) h) |
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))))))))) |
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)))) |
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)))) |
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))))))))) |
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))))))))) |
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)))) |
(* -1/2 (/ (* D (* M h)) d)) |
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(* -1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
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(/ (* M h) d) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (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 w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
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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))))))) |
(* 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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(* 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)))))))) |
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(* (/ (* 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)))))))) |
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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)))))) |
(* 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)))))))) |
(* (/ (* 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)))))))) |
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(/ (* (pow M 2) (* h w0)) d) |
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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 (* 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))))))))) |
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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)))))))) |
(* -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 (* 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)))))) |
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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)))))))) |
(* -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))))))))) |
(* -1/8 (/ (* (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)))))) |
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(* -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))))))))) |
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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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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 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))))) (* (/ (* 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))))))))) |
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(* -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))))))))) |
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(/ (* M h) d) |
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(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (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 w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(* (pow M 2) h) |
(* (pow M 2) h) |
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1 |
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w0 |
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(+ 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))))))))) |
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))))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
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))))))))) |
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)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
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))))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
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(/ w0 h) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
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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))))))))) |
w0 |
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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)))) |
(+ 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))))))))) |
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))))))))) |
1 |
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* -1/2 (/ (* D M) d)) |
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(* -1/2 (/ (* D M) d)) |
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(* -1/2 (/ (* D (* M h)) d)) |
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(* -1/2 (/ (* D (* M h)) d)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (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 w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(* (pow M 2) h) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
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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))))))) |
(* (/ (* 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))))))) |
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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))))))) |
(* -1/8 (/ (* (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)))) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (/ (* 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))))))) |
(* -1/8 (/ (* (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) w0)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
(* (/ (* 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))))))) |
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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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(* -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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(* -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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(* -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)))))))) |
(* -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)))))) |
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(* -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)))))))) |
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(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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(/ (+ (* (/ (* 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) |
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(* (pow d 2) l) |
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(* (pow d 2) l) |
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w0 |
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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 |
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1 |
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1 |
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w0 |
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w0 |
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1 |
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1 |
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(+ 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))))))))) |
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))))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
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))))))))) |
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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(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
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))))))))) |
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)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(/ w0 h) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
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))))))))) |
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)))) |
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)))) |
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))))))))) |
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))))))))) |
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)))) |
(* -1/2 (/ (* D M) d)) |
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(* -1/2 (/ (* D M) d)) |
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(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
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(* 1/2 (/ (* D (* M h)) (* d l))) |
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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)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* 1/2 (/ (* D M) d)) |
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(* 1/2 (/ (* D M) d)) |
(* (/ (* 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))))))) |
(* -1/8 (/ (* (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)))) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
(* (/ (* 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))))))) |
(* -1/8 (/ (* (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)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* (/ (* 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))))))) |
(* -1/8 (/ (* (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)))) |
(* (/ (* 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))))))) |
(* (/ (* 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))))))) |
(* -1/4 (/ (* (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)))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) 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)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (* D (* M h))) |
(* 1/2 (* D (* M h))) |
(* 1/2 (* D (* M h))) |
(* 1/2 (* D (* M h))) |
(* -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 (* (/ (* 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)))))))) |
(* -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)))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -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)))))))) |
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(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (* (pow M 2) h)) |
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(* (pow D 2) (* (pow M 2) h)) |
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(* -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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(* (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)) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* -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)))))) |
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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)))))))) |
(* -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)))) |
(* -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)))))))) |
(* -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)))))))) |
(* -1/4 (/ (* (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)))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) 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)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (* D (* M h))) |
(* 1/2 (* D (* M h))) |
(* 1/2 (* D (* M h))) |
(* 1/2 (* D (* M 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)) |
(* (/ (* 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) |
(* (/ (* 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) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* (/ (* 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) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(/ (+ (* -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)) |
(* (/ (* 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) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(/ (+ (* -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)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) l)) (/ (* (pow d 2) w0) h)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) l)) (/ (* (pow d 2) w0) h)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) l)) (/ (* (pow d 2) w0) h)) (pow d 2)) |
(* (/ (* 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) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(/ (+ (* -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)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(/ (+ (* -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)) |
(* (/ (* 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) |
(* (/ (* 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) |
(* -1/4 (/ (* (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)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) 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)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (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 M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d 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)))) |
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))))))) |
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))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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)))) |
(+ w0 (* -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))) (* -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)))) |
(+ 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))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
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)))) |
(+ w0 (* -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)))) |
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))))))) |
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 (* -1/4 (/ (* (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)))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) 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)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (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 M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d 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)))) |
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))))))) |
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))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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)))) |
(+ w0 (* -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))) (* -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)))) |
(+ 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))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
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)))) |
(+ w0 (* -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)))) |
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))))))) |
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 (* -1/4 (/ (* (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)))) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) d)) |
(* -1/2 (/ (* D M) 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)) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* M h) d) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (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 M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* -1/8 w0) |
(*.f64 #s(literal -1/8 binary64) w0) |
(* -1/8 w0) |
(*.f64 #s(literal -1/8 binary64) w0) |
(* -1/8 w0) |
(*.f64 #s(literal -1/8 binary64) w0) |
(* -1/8 w0) |
(*.f64 #s(literal -1/8 binary64) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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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(* (pow D 2) (* (pow M 2) h)) |
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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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(* (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) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* 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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(* (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)))) |
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
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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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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
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(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 (/.f64 d D))) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 w0 (/.f64 d D))) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (/ (* 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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w0 |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(/ w0 h) |
(/.f64 w0 h) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) 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 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) w0)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) w0) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) w0) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) w0) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) w0) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) w0) |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) w0) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) 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 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) 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)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) w0)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #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 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64)) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) (*.f64 D D)) (*.f64 l (*.f64 d d))) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(* (pow d 2) l) |
(*.f64 l (*.f64 d d)) |
(/ (* (pow M 2) (* h w0)) d) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) |
(/ (* (pow M 2) (* h w0)) d) |
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) |
(/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)) |
(*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 577 |
| 0 | 133 | 577 |
| 1 | 481 | 573 |
| 2 | 4186 | 555 |
| 0 | 8124 | 552 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64))) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) |
(*.f64 w0 #s(literal -1/8 binary64)) |
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) |
(*.f64 h (/.f64 M d)) |
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) |
(*.f64 h (*.f64 M M)) |
(*.f64 l (*.f64 d d)) |
(*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) |
(*.f64 (*.f64 M M) h) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) |
(*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) M #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) M #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) h) l) (*.f64 #s(literal -1/2 binary64) D)) (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(*.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (pow.f64 (*.f64 l d) #s(literal -1 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 h D) (*.f64 l d))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 h D) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) |
(*.f64 (*.f64 h D) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 h l) D)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 (/.f64 h l) D))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 h (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (*.f64 l d))) |
(*.f64 h (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) |
(*.f64 h (*.f64 D (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l))) |
(*.f64 h (pow.f64 (*.f64 l (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (/.f64 h l)) |
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (/.f64 h l) D))) |
(*.f64 D (*.f64 h (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l))) |
(*.f64 D (*.f64 (/.f64 h l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) |
(pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 d M) D) #s(literal 1/2 binary64)) (/.f64 l h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 h D) M) (/.f64 #s(literal 1/2 binary64) l))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 h D) M)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 l (*.f64 (*.f64 h D) M)) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (neg.f64 l)) |
(/.f64 (*.f64 h (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 h D)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) d) l) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 h D) M) (/.f64 #s(literal 1/2 binary64) l))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) #s(literal 1 binary64)) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 h D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 h D) M)) (*.f64 d #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 h D) M) (/.f64 #s(literal 1/2 binary64) l)) d) |
(/.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal -1/2 binary64)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.f64 l d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 h D) M) (/.f64 #s(literal 1/2 binary64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 h D) M)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 (*.f64 h D) M)) (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (/.f64 l h)) |
(neg.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 (*.f64 h D) M)) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) |
(*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) |
(*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) h) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) |
(*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 h (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) |
(*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 h D))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h D) M)) |
(*.f64 D (*.f64 h (*.f64 M #s(literal 1/2 binary64)))) |
Compiled 58 379 to 3 416 computations (94.1% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 974 | 18 | 1 992 |
| Fresh | 5 | 19 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 983 | 40 | 2 023 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) | |
| ✓ | 92.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
| 74.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| 79.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) | |
| 79.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) | |
| 81.8% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) | |
| 86.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))) | |
| 13.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) | |
| 85.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| 84.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) | |
| 76.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) | |
| 83.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) #s(literal 1 binary64))))) | |
| 73.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) | |
| 79.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) | |
| 73.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) | |
| 12.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) | |
| 14.6% | (*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) | |
| ✓ | 72.7% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 64.7% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) | |
| 78.7% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) | |
| 68.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) | |
| 57.4% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) | |
| 61.8% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) | |
| 58.3% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) | |
| 55.4% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) | |
| 60.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) | |
| 70.1% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) | |
| 54.1% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) | |
| 13.1% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) | |
| 73.1% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) | |
| 56.3% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) | |
| 69.6% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) | |
| 67.0% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) | |
| 76.8% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) | |
| 68.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) | |
| ✓ | 52.7% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
| 53.2% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 w0 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) | |
| 27.1% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 d d) l) (*.f64 w0 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) | |
| 11.8% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) | |
| 55.9% | #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
Compiled 2 565 to 1 215 computations (52.6% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 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 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)) w0)) |
(*.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 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 w0 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 d d) l) (*.f64 w0 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
15 calls:
| 36.0ms | w0 |
| 30.0ms | l |
| 24.0ms | (/.f64 h l) |
| 23.0ms | h |
| 23.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | w0 |
| 92.2% | 1 | M |
| 92.2% | 1 | D |
| 92.2% | 1 | h |
| 92.2% | 1 | l |
| 92.2% | 1 | d |
| 92.2% | 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))))) |
| 92.2% | 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)))) |
| 92.2% | 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))) |
| 92.2% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 92.2% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 92.2% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 92.2% | 1 | (*.f64 M D) |
| 92.2% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 92.2% | 1 | (/.f64 h l) |
Compiled 93 to 140 computations (-50.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 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 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
15 calls:
| 28.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 19.0ms | w0 |
| 18.0ms | M |
| 18.0ms | D |
| 18.0ms | (*.f64 #s(literal 2 binary64) d) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | w0 |
| 92.2% | 1 | D |
| 92.2% | 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))))) |
| 92.2% | 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)))) |
| 92.2% | 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))) |
| 92.2% | 1 | (*.f64 M D) |
| 92.2% | 1 | M |
| 92.2% | 1 | h |
| 92.2% | 1 | l |
| 92.2% | 1 | d |
| 92.2% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 92.2% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 92.2% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 92.2% | 1 | (/.f64 h l) |
| 92.2% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
Compiled 93 to 140 computations (-50.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 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 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) |
15 calls:
| 48.0ms | (*.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))))) |
| 38.0ms | w0 |
| 18.0ms | l |
| 17.0ms | h |
| 17.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | w0 |
| 90.0% | 1 | D |
| 90.0% | 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))))) |
| 90.0% | 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)))) |
| 90.0% | 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))) |
| 90.0% | 1 | (*.f64 M D) |
| 90.0% | 1 | M |
| 90.0% | 1 | h |
| 90.0% | 1 | l |
| 90.0% | 1 | d |
| 90.0% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 90.0% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 90.0% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 90.0% | 1 | (/.f64 h l) |
| 90.0% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
Compiled 93 to 140 computations (-50.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 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 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
15 calls:
| 82.0ms | D |
| 31.0ms | l |
| 19.0ms | (*.f64 #s(literal 2 binary64) d) |
| 19.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 15.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | h |
| 86.5% | 1 | w0 |
| 86.5% | 1 | D |
| 86.5% | 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))))) |
| 86.5% | 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)))) |
| 86.5% | 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))) |
| 89.4% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 88.8% | 2 | l |
| 90.1% | 2 | d |
| 88.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 91.4% | 3 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.5% | 1 | (*.f64 M D) |
| 90.1% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 90.7% | 3 | (/.f64 h l) |
| 86.5% | 1 | M |
Compiled 93 to 140 computations (-50.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 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 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
4 calls:
| 72.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 15.0ms | (*.f64 #s(literal 2 binary64) d) |
| 15.0ms | d |
| 13.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 89.3% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 89.4% | 2 | d |
| 89.4% | 2 | (*.f64 #s(literal 2 binary64) d) |
Compiled 20 to 35 computations (-75% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 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 M M) D) l) (*.f64 (/.f64 (/.f64 D d) d) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
4 calls:
| 82.0ms | (*.f64 #s(literal 2 binary64) d) |
| 70.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 15.0ms | d |
| 13.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 89.3% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 88.1% | 2 | d |
| 88.1% | 2 | (*.f64 #s(literal 2 binary64) d) |
Compiled 20 to 35 computations (-75% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D 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 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) #s(literal 1 binary64))))) |
15 calls:
| 25.0ms | (/.f64 h l) |
| 19.0ms | (*.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))))) |
| 19.0ms | (*.f64 #s(literal 2 binary64) d) |
| 15.0ms | M |
| 15.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 1 | w0 |
| 86.0% | 2 | M |
| 88.1% | 3 | h |
| 84.3% | 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))))) |
| 87.0% | 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)))) |
| 87.0% | 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 M D) |
| 85.9% | 2 | D |
| 86.1% | 2 | d |
| 86.1% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 84.3% | 1 | l |
| 86.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 87.8% | 3 | (/.f64 h l) |
| 87.0% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 87.0% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
Compiled 93 to 140 computations (-50.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) 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 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))) |
3 calls:
| 13.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 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))) |
| 11.0ms | (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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.9% | 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)))) |
| 86.9% | 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))) |
Compiled 38 to 41 computations (-7.9% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (* (* D M) -1/2) d) (/ (* (* h D) (* M 1/2)) (* l d))) 1) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
6 calls:
| 13.0ms | h |
| 13.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 11.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 11.0ms | (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)))) |
| 10.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 1 | h |
| 86.3% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 86.2% | 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)))) |
| 86.2% | 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 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 85.9% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
Compiled 61 to 71 computations (-16.4% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 9.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 D (/.f64 (*.f64 M M) (*.f64 l d))) (/.f64 D d)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 12.0ms | w0 |
| 12.0ms | D |
| 12.0ms | d |
| 11.0ms | h |
| 11.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | h |
| 81.3% | 2 | l |
| 79.6% | 1 | w0 |
| 82.6% | 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))))) |
| 81.8% | 2 | D |
| 83.0% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 83.0% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.3% | 3 | (*.f64 M D) |
| 84.2% | 2 | M |
| 83.8% | 3 | d |
| 83.8% | 3 | (*.f64 #s(literal 2 binary64) d) |
| 85.7% | 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)))) |
| 85.7% | 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))) |
| 83.5% | 3 | (/.f64 h l) |
| 85.8% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 93 to 140 computations (-50.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 w0 (*.f64 l (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) h)) l) (/.f64 (*.f64 D D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) l) (/.f64 h d)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
3 calls:
| 9.0ms | (-.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))) |
| 9.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 8.0ms | (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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 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)))) |
| 84.7% | 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))) |
| 84.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 44 to 44 computations (0% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
4 calls:
| 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)))) |
| 7.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 7.0ms | (*.f64 M D) |
| 6.0ms | (-.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 |
|---|---|---|
| 84.2% | 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)))) |
| 84.2% | 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))) |
| 83.6% | 2 | (*.f64 M D) |
| 84.3% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 47 to 51 computations (-8.5% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 h M) (neg.f64 M))) (neg.f64 l)) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
7 calls:
| 7.0ms | M |
| 7.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 6.0ms | (*.f64 M D) |
| 6.0ms | (-.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))) |
| 6.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 81.2% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 80.5% | 2 | (*.f64 M D) |
| 81.2% | 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)))) |
| 81.2% | 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))) |
| 80.5% | 2 | M |
| 82.8% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 64 to 78 computations (-21.9% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 4.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 l d) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) w0))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 w0 l)) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
2 calls:
| 5.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 5.0ms | (*.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 |
|---|---|---|
| 81.2% | 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))))) |
| 82.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 31 to 30 computations (3.2% 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 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
13 calls:
| 3.0ms | h |
| 2.0ms | (*.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))))) |
| 2.0ms | w0 |
| 2.0ms | (*.f64 #s(literal 2 binary64) d) |
| 2.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 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))))) |
| 80.5% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 80.5% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 72.7% | 1 | w0 |
| 80.8% | 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)))) |
| 80.8% | 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))) |
| 72.7% | 1 | l |
| 76.9% | 3 | h |
| 78.9% | 2 | D |
| 77.7% | 2 | (/.f64 h l) |
| 75.2% | 2 | d |
| 75.2% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 80.8% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 89 to 127 computations (-42.7% saved)
Total -11.2b remaining (-64.3%)
Threshold costs -11.2b (-64.3%)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ (* (* (* (* M M) w0) D) D) (* l (* d d))) -1/8) (/ w0 h)) (/.f64 w0 h)) h))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
13 calls:
| 2.0ms | d |
| 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 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))))) |
| 2.0ms | (*.f64 #s(literal 2 binary64) d) |
| 2.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 1 | d |
| 72.7% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 72.7% | 1 | h |
| 72.7% | 1 | (/.f64 h l) |
| 72.7% | 1 | D |
| 72.7% | 1 | (*.f64 M D) |
| 72.7% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 72.7% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 72.7% | 1 | M |
| 72.7% | 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))))) |
| 72.7% | 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)))) |
| 72.7% | 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))) |
| 72.7% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 91 to 128 computations (-40.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1046850929871693e-112 | 9.28231652490007e-111 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1046850929871693e-112 | 9.28231652490007e-111 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3505719839938835e+30 | 9.026291864961776e+31 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0515570419300806 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8221007987913844e-34 | 2.750752738977759e-33 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05155704193008055 | -2.3048678598529576e-48 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05155704193008055 | -2.3048678598529576e-48 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05155704193008055 | -2.3048678598529576e-48 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05155704193008055 | -2.3048678598529576e-48 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05155704193008055 | -2.3048678598529576e-48 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.810365575062566e+189 | -1.410655382111383e+174 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.100092192533976e+149 | -2.9414689069011615e+139 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.9967712153329557e+220 | -2.161428317477624e+207 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.9967712153329557e+220 | -2.161428317477624e+207 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 1137 |
| 1 | 310 | 1137 |
| 2 | 326 | 1137 |
| 3 | 346 | 1137 |
| 4 | 370 | 1137 |
| 5 | 388 | 1137 |
| 6 | 401 | 1137 |
| 7 | 408 | 1137 |
| 8 | 410 | 1137 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))) |
(if (<=.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(literal 1 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 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 -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.f64 (*.f64 d d) l)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) (*.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 -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) (*.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 -19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) (*.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 -19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) (*.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 D #s(literal 1/2 binary64)) (/.f64 d M)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h (/.f64 M d))) l) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 d M)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal -1/2 binary64) D)) l) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/2 binary64) D)) (neg.f64 l)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h) l) #s(literal 1 binary64))) w0) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 h M) l) (*.f64 (/.f64 D d) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) w0)) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 h (/.f64 D l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 D l) h) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (/.f64 (*.f64 h M) l) (*.f64 (/.f64 D d) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) w0)) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 M l) (/.f64 (*.f64 M D) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 (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) h) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 M l))) #s(literal 1 binary64)))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) (*.f64 l d)) #s(literal 1 binary64))) w0)) |
(if (<=.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(literal 1 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 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) l))) (/.f64 D d)) #s(literal 1 binary64)))))) |
(if (<=.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(literal 1 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) l) M) M) (/.f64 D d)) #s(literal 1 binary64)))) w0)) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) (*.f64 l d)) #s(literal 1 binary64))) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 (*.f64 M D) (*.f64 l d)) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) l)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 (*.f64 M D) l) (/.f64 (*.f64 M D) (*.f64 d d))) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.f64 (*.f64 d d) l)) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l))) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) l)) (*.f64 M D)) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) #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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l)) D) #s(literal 1 binary64)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) (*.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 -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 w0 d) (*.f64 h M)) M) (*.f64 l d)) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0)) (*.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 -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) M) (*.f64 h M)) l) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (*.f64 D D))) (*.f64 l (*.f64 d d))) w0))) (*.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 -19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)) w0))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) (*.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 -19999999999999999928744841473790220281181953991931746222266540079415506765858221225232943222654423944589141087860633254073814857614758911950153983586547993794999264272985505583615112020953511422477116871894309624193482752 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ (/ d M) D) 2))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l)) D) w0))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 578 |
| 0 | 135 | 581 |
| 1 | 473 | 516 |
| 2 | 3788 | 516 |
| 0 | 8704 | 503 |
| 0 | 60 | 463 |
| 0 | 102 | 466 |
| 1 | 338 | 405 |
| 2 | 2778 | 395 |
| 0 | 9037 | 381 |
| 0 | 83 | 577 |
| 0 | 133 | 577 |
| 1 | 481 | 573 |
| 2 | 4186 | 555 |
| 0 | 8124 | 552 |
| 0 | 626 | 7690 |
| 1 | 2185 | 7668 |
| 0 | 8475 | 7462 |
| 0 | 17 | 69 |
| 0 | 26 | 69 |
| 1 | 82 | 69 |
| 2 | 550 | 69 |
| 3 | 7047 | 69 |
| 0 | 8635 | 69 |
| 0 | 685 | 37710 |
| 1 | 2360 | 37494 |
| 0 | 8502 | 36372 |
| 0 | 657 | 36719 |
| 1 | 2268 | 36447 |
| 0 | 8152 | 35357 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 861 to 1 216 computations (34.7% saved)
(negabs w0)
(abs d)
Compiled 3 262 to 2 010 computations (38.4% saved)
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