
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 8 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 9 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 10 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 11 |
| 18.8% | 18.7% | 81% | 0.3% | 0% | 0% | 0% | 12 |
Compiled 20 to 19 computations (5% saved)
| 1.3s | 8 256× | 0 | valid |
| 323.0ms | 2 704× | 0 | invalid |
ival-mult: 414.0ms (44.1% of total)ival-div: 221.0ms (23.6% of total)ival-pow2: 148.0ms (15.8% of total)ival-sqrt: 71.0ms (7.6% of total)ival-sub: 55.0ms (5.9% of total)exact: 13.0ms (1.4% of total)ival-true: 9.0ms (1% of total)ival-assert: 5.0ms (0.5% of total)adjust: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 1 | (5.078392720882158e-244 4.3899716116048285e-297 -1.2881180929838572e-169 -1.104584432872657e+191 5.497518756210023e+109 -2.9473859188737555e-264) | 0 | - | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 26 | 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)))) |
| 21 | 0 | - | 0 | - | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 7 | 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 | 26 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 57 | |
| ↳ | (-.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 | 64 | |
| ↳ | (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 | 38 | |
| ↳ | (*.f64 M D) | overflow | 27 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 26 | |
| ↳ | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | overflow | 64 | |
| ↳ | (/.f64 h l) | overflow | 36 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 13 | 0 |
| ↳ | (*.f64 M D) | overflow | 27 | |
*.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 | 7 | 0 |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*o | 6 | 0 |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | o*u | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 57 | |
| ↳ | (*.f64 M D) | overflow | 27 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 26 | |
| ↳ | (/.f64 h l) | underflow | 36 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | u*o | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 90 | |
| ↳ | (*.f64 M D) | underflow | 25 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 45 | |
| ↳ | (/.f64 h l) | overflow | 36 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 1 | 0 |
| ↳ | (*.f64 M D) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 39 | 16 |
| - | 11 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 39 | 0 | 16 |
| - | 11 | 0 | 190 |
| number | freq |
|---|---|
| 0 | 206 |
| 1 | 43 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 91.0ms | 512× | 0 | valid |
Compiled 212 to 55 computations (74.1% saved)
ival-mult: 13.0ms (37.7% of total)ival-div: 8.0ms (23.2% of total)ival-pow2: 6.0ms (17.4% of total)ival-sub: 3.0ms (8.7% of total)ival-sqrt: 3.0ms (8.7% of total)exact: 1.0ms (2.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 501 |
| 1 | 461 | 492 |
| 2 | 1413 | 492 |
| 3 | 4009 | 492 |
| 0 | 17 | 18 |
| 0 | 26 | 18 |
| 1 | 47 | 18 |
| 2 | 112 | 18 |
| 3 | 816 | 18 |
| 4 | 4616 | 18 |
| 5 | 6521 | 18 |
| 0 | 8357 | 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 |
|---|---|---|
| ▶ | 79.0% | (*.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))))) |
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 | 112 | 95 |
| 3 | 816 | 95 |
| 4 | 4616 | 95 |
| 5 | 6521 | 95 |
| 0 | 8357 | 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 | 1.6825547460698054 | (*.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 | 4.811857635336969 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 6.073517816214646 | (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 | 9.328005938800246 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 57.0ms | 256× | 0 | valid |
Compiled 97 to 19 computations (80.4% saved)
ival-div: 21.0ms (50.1% of total)ival-mult: 15.0ms (35.8% of total)ival-pow2: 3.0ms (7.2% of total)ival-sqrt: 2.0ms (4.8% of total)ival-sub: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
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 (* -1/4 (/ (* (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)) |
(* (/ (* 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))))) |
(* -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)))))))) |
(+ 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 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* D (+ (* 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (+ (* 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)))))))) |
(+ 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 (* 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))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(/ (+ (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (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 (* -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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (* (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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | 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))) |
| 7.0ms | 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))) |
| 7.0ms | d | @ | 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))) |
| 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))) |
| 4.0ms | 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 626 | 4390 |
| 1 | 2407 | 4334 |
| 0 | 9499 | 4188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
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 (* -1/4 (/ (* (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)) |
(* (/ (* 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))))) |
(* -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)))))))) |
(+ 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 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* D (+ (* 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (+ (* 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)))))))) |
(+ 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 (* 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))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(/ (+ (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (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 (* -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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (* (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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
| 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) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
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 (*.f64 M M) h) 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 -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 w0 l)) (*.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 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 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.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 (*.f64 M M) h) 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 (*.f64 d d) l)))) (*.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 (pow.f64 d #s(literal 4 binary64))) (/.f64 h (*.f64 l l))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #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) (*.f64 D D)) (*.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))) |
(*.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 D M) d) #s(literal 1/2 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 (*.f64 d w0) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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)))))) |
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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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(* -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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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
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(* -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))))) (+ (* 1/2 (* (/ 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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(+ 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))))))) |
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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))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (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 M #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 h l) (/.f64 h l))))) (*.f64 D D) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) (*.f64 D D) w0) |
(+ 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))))))) |
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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))))))))) |
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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)))))) |
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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 (+ (* 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)))))) |
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(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 69 |
| 0 | 26 | 69 |
| 1 | 75 | 69 |
| 2 | 410 | 69 |
| 3 | 7218 | 69 |
| 0 | 8457 | 66 |
| 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 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (-.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) |
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(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M (neg.f64 d))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal -2 binary64))) |
(*.f64 (/.f64 M d) (/.f64 (neg.f64 D) #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (neg.f64 (/.f64 D #s(literal 2 binary64)))) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (neg.f64 M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (neg.f64 D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 M)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal -2 binary64))) |
(*.f64 (/.f64 D d) (/.f64 (neg.f64 M) #s(literal 2 binary64))) |
(*.f64 (/.f64 D d) (neg.f64 (/.f64 M #s(literal 2 binary64)))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (neg.f64 (/.f64 D d))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 D (neg.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 D (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 D M) (neg.f64 d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64)) |
(/.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 M #s(literal 2 binary64)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) 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 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64))) (fabs.f64 (neg.f64 d))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D)) (fabs.f64 d)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 M) D)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) 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 #s(literal -2 binary64) d)))) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 (neg.f64 d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) d) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)) |
(neg.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) |
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
Compiled 15 345 to 2 438 computations (84.1% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 13 | 426 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 413 | 14 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| 74.3% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) | |
| ▶ | 78.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
| 74.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 l) d))))) | |
| ▶ | 76.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) | |
| 73.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| ✓ | 79.0% | (*.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))))) |
| ▶ | 73.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
| ▶ | 64.7% | (*.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 d d) l)) #s(literal 1 binary64))))) |
| 63.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) | |
| 17.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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)))))) | |
| 55.3% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) | |
| ▶ | 65.6% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 53.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 742 to 609 computations (17.9% 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 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))) | |
| 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 (*.f64 d d) l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 M M) D) D) | |
| 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 | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| cost-diff | 2 | (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 597 |
| 0 | 103 | 595 |
| 1 | 214 | 551 |
| 2 | 824 | 543 |
| 3 | 5621 | 543 |
| 0 | 8668 | 540 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) |
(/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
h |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
D |
M |
#s(literal 2 binary64) |
(*.f64 #s(literal -2 binary64) d) |
#s(literal -2 binary64) |
d |
(*.f64 (*.f64 #s(literal -2 binary64) d) l) |
l |
(*.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 (*.f64 d d) l)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #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 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #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 (*.f64 d d) l)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
d |
(*.f64 (/.f64 D d) (/.f64 h l)) |
(/.f64 D d) |
(/.f64 h l) |
h |
l |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 D d) M) |
(/.f64 D d) |
D |
d |
M |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(/.f64 (/.f64 M d) #s(literal 2 binary64)) |
(/.f64 M d) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 4 binary64)) d) l) h))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 4 binary64)) d) l) h))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 4 binary64)) d) l) h)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) |
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 4 binary64)) d) l) h) |
(/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d)) |
(*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) |
h |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(pow.f64 (*.f64 M D) #s(literal 2 binary64)) |
(*.f64 D M) |
(*.f64 M D) |
D |
M |
#s(literal 2 binary64) |
(*.f64 #s(literal -2 binary64) d) |
(*.f64 d #s(literal -2 binary64)) |
#s(literal -2 binary64) |
d |
(*.f64 (*.f64 #s(literal -2 binary64) d) l) |
(*.f64 l (*.f64 d #s(literal -2 binary64))) |
l |
(*.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 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h 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 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h 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 (*.f64 d d) l)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h d)) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h 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 (*.f64 d d) l)) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(pow.f64 (*.f64 M D) #s(literal 2 binary64)) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) d) (/.f64 h l) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) d) (/.f64 h l) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))) |
(fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) d) (/.f64 h l) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 2 binary64)) (/.f64 (/.f64 h l) d)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 M (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
d |
(*.f64 (/.f64 D d) (/.f64 h l)) |
(*.f64 (/.f64 (/.f64 h l) d) D) |
(/.f64 D d) |
(/.f64 h l) |
h |
l |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 2 binary64)) (/.f64 (/.f64 h l) d)) |
(*.f64 (/.f64 D d) M) |
(/.f64 D d) |
D |
d |
M |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) h) (/.f64 D l)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(/.f64 (/.f64 M d) #s(literal 2 binary64)) |
(/.f64 M d) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.124557855268279 | (*.f64 (/.f64 D d) M) | |
| accuracy | 6.073517816214646 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| accuracy | 6.361735957279932 | (*.f64 (/.f64 h l) D) | |
| accuracy | 9.07851293430453 | (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) | |
| accuracy | 6.013783311132286 | (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))) | |
| accuracy | 6.07657066190927 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))) | |
| accuracy | 7.601308757287736 | (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) | |
| accuracy | 9.703307917956943 | (*.f64 (/.f64 D d) (/.f64 h l)) | |
| accuracy | 6.044320253537878 | (*.f64 (*.f64 M M) D) | |
| accuracy | 6.073517816214646 | (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 d d) l)) #s(literal 1 binary64)))) | |
| accuracy | 7.5372757991426 | (*.f64 (*.f64 d d) l) | |
| accuracy | 16.244369377875152 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) | |
| accuracy | 1.6825547460698054 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) | |
| accuracy | 22.160376676907187 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) | |
| accuracy | 4.694304419265312 | (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) | |
| accuracy | 6.073517816214646 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))) | |
| accuracy | 6.399067023383704 | (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) | |
| accuracy | 8.591145521999666 | (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) |
| 125.0ms | 256× | 0 | valid |
Compiled 539 to 59 computations (89.1% saved)
ival-mult: 56.0ms (59% of total)ival-div: 16.0ms (16.9% of total)ival-sub: 8.0ms (8.4% of total)ival-sqrt: 7.0ms (7.4% of total)ival-pow2: 5.0ms (5.3% of total)ival-add: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 M M) 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 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #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 (*.f64 d d) l)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 M M) D) |
(*.f64 (/.f64 D d) (/.f64 h l)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) D) |
(*.f64 (/.f64 D d) M) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/2 (/ (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* (pow D 2) (pow M 2)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (pow D 2) (* (pow M 2) h)) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* 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))))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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 (* (/ (* 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 -1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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 (* (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))))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D h) (* d l)) |
(/ (* D 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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 (+ (* 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 (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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 (* 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))))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(* (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 (+ (* -1/8 (/ (* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | l | @ | 0 | ((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))))) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (/ h l)) (* (/ D 2) (* (/ M d) M)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ D d) M)) |
| 28.0ms | h | @ | -inf | ((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))))) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (/ h l)) (* (/ D 2) (* (/ M d) M)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ D d) M)) |
| 18.0ms | d | @ | 0 | ((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))))) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (/ h l)) (* (/ D 2) (* (/ M d) M)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ D d) M)) |
| 16.0ms | D | @ | -inf | ((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))))) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (/ h l)) (* (/ D 2) (* (/ M d) M)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ D d) M)) |
| 14.0ms | M | @ | inf | ((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ D d) (/ h l))))) (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2) (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) (* w0 (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2)))) (sqrt (- 1 (/ (* (* (/ D d) M) (* (* (/ h l) D) (/ (/ M d) 2))) 2))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (/ h l)) (* (/ D 2) (* (/ M d) M)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (/ D d) M)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1090 | 8908 |
| 1 | 4257 | 8788 |
| 0 | 8249 | 8501 |
| 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 (* 1/2 (/ (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* (pow D 2) (pow M 2)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* (pow D 2) (* (pow M 2) h)) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* 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))) |
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(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))) |
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 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 -1/2)))) d) (sqrt (/ h l)))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))) |
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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 (* (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))))))))) |
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(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D h) (* d l)) |
(/ (* D 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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 (+ (* 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 (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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 (* 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))))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(* (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 (+ (* -1/8 (/ (* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) 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 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (*.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 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) 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 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 M h) (*.f64 M h)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.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 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(* (pow D 2) (pow M 2)) |
(*.f64 (*.f64 M D) (*.f64 M D)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) w0) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (*.f64 M M) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)))) (*.f64 M M) w0) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 M h) (*.f64 M h)) (*.f64 l l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(* (pow D 2) (* (pow M 2) h)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/2 binary64)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) |
(* D (pow M 2)) |
(*.f64 (*.f64 M M) D) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 M h) D)) (*.f64 l d)) |
(/ (* D M) d) |
(/.f64 (*.f64 M 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)) |
(* 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 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.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 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.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 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.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 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.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))) |
(* 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 (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.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))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (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 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 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 l l))) #s(literal -1/32 binary64)))) |
(+ 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))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) 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))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) (neg.f64 l))) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)))) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) (neg.f64 l))) l)) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(-.f64 w0 (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/32 binary64))) (neg.f64 l))) l)) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/32 binary64))) (neg.f64 l))) 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) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64)) (*.f64 d d))) |
(/ (- (pow d 2) (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64)) (*.f64 d d))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 467 |
| 0 | 103 | 467 |
| 1 | 317 | 429 |
| 2 | 2191 | 421 |
| 0 | 8674 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 M M) 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 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #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 (*.f64 d d) l)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 M M) D) |
(*.f64 (/.f64 D d) (/.f64 h l)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) D) |
(*.f64 (/.f64 D d) M) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 h #s(literal -2 binary64)) l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 d #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 h #s(literal -2 binary64)) (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) l)) |
(*.f64 (/.f64 (/.f64 h #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (*.f64 d d))) |
(*.f64 (/.f64 h (*.f64 d #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) l)) |
(*.f64 (/.f64 h (*.f64 d #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) (/.f64 h (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(*.f64 (/.f64 h #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(*.f64 (/.f64 h #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) (*.f64 l d))) |
(*.f64 (/.f64 h l) (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) (*.f64 d #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) |
(*.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (/.f64 h (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) |
(*.f64 h (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d)) l)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d)))) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h))) (neg.f64 (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 l d))) |
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d)) l) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 l d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)))) l) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64)))) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d))) (*.f64 l (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -2 binary64))) (neg.f64 (*.f64 d (*.f64 l (*.f64 d #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 l)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -2 binary64)) (*.f64 d (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64))) l) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64))) (neg.f64 (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 h d)) (*.f64 l (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) |
(neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d #s(literal 2 binary64))) (*.f64 l (*.f64 d #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) w0) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)))))) (neg.f64 (sqrt.f64 (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 (acos.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) (sqrt.f64 (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 h (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)) l)) #s(literal 1 binary64))))) |
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(*.f64 D (*.f64 M M)) |
(*.f64 (/.f64 h l) (/.f64 D d)) |
(*.f64 (/.f64 D d) (/.f64 h l)) |
(*.f64 D (/.f64 h (*.f64 l d))) |
(*.f64 D (/.f64 (/.f64 h l) d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (/.f64 D d))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 h l))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 h l) (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 D d) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 h l) D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 D h))) (neg.f64 (neg.f64 (*.f64 l d)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (neg.f64 D))) (neg.f64 (*.f64 (neg.f64 l) (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (*.f64 (neg.f64 l) d))) |
(/.f64 (neg.f64 (*.f64 h (neg.f64 D))) (neg.f64 (*.f64 l (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (neg.f64 h))) (neg.f64 (*.f64 (neg.f64 d) (neg.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) h)) (neg.f64 (*.f64 (neg.f64 d) l))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (*.f64 d (neg.f64 l)))) |
(/.f64 (*.f64 (neg.f64 h) (/.f64 D d)) (neg.f64 l)) |
(/.f64 (*.f64 (neg.f64 D) (/.f64 h l)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 h l) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 D d) (neg.f64 h)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) h)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (/.f64 h l) D)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 D h)) (neg.f64 (*.f64 l d))) |
(/.f64 (*.f64 (neg.f64 h) (neg.f64 D)) (*.f64 (neg.f64 l) (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 h) D) (*.f64 (neg.f64 l) d)) |
(/.f64 (*.f64 h (neg.f64 D)) (*.f64 l (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 D) (neg.f64 h)) (*.f64 (neg.f64 d) (neg.f64 l))) |
(/.f64 (*.f64 (neg.f64 D) h) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 D (neg.f64 h)) (*.f64 d (neg.f64 l))) |
(/.f64 (*.f64 D h) (*.f64 l d)) |
(/.f64 (*.f64 (/.f64 D d) h) l) |
(/.f64 (*.f64 (/.f64 h l) D) d) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (*.f64 M (/.f64 D #s(literal 2 binary64)))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) M) |
(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) |
(*.f64 D (/.f64 (*.f64 (/.f64 M d) M) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 D #s(literal 2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 M M))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 D))) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 M M))) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) M) M))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M M) (/.f64 D #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 M M)) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) M) M)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) D)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 M M) (neg.f64 D)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 M M)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l)) D) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (*.f64 (/.f64 h l) D)) |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 h l)) |
(*.f64 D (*.f64 (/.f64 h l) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (/.f64 h l) D))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D h) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 h (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (*.f64 D h))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (neg.f64 M) d))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) M)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 M (*.f64 (/.f64 h l) D))) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 D h))) (neg.f64 (*.f64 #s(literal -2 binary64) l))) |
(/.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 D h))) (neg.f64 (*.f64 #s(literal 2 binary64) l))) |
(/.f64 (neg.f64 (*.f64 M (*.f64 D h))) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D h) (/.f64 (neg.f64 M) d))) (neg.f64 (*.f64 l #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D h) (/.f64 M d))) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D h) M)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (/.f64 h l) D)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 D h) (/.f64 (/.f64 M d) #s(literal 2 binary64))) l) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (neg.f64 l)) |
(/.f64 (*.f64 h (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) l) |
(/.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (*.f64 D h)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (neg.f64 M) d)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M (*.f64 (/.f64 h l) D)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 D h)) (*.f64 #s(literal -2 binary64) l)) |
(/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l)) |
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (*.f64 (*.f64 D h) (/.f64 (neg.f64 M) d)) (*.f64 l #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 D h) (/.f64 M d)) (*.f64 l #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 h l) D) |
(*.f64 D (/.f64 h l)) |
(*.f64 h (/.f64 D l)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 D h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 D h)) (neg.f64 l)) |
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l)) |
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l)) |
(/.f64 (*.f64 D h) l) |
(*.f64 (/.f64 D d) M) |
(*.f64 M (/.f64 D d)) |
(*.f64 D (/.f64 M d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d)) |
(/.f64 (*.f64 M D) d) |
Compiled 27 347 to 3 872 computations (85.8% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 658 | 17 | 675 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 667 | 22 | 689 |
| Status | Accuracy | Program |
|---|---|---|
| 81.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| ▶ | 84.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
| ▶ | 73.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
| 84.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))) | |
| 73.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))))) | |
| ▶ | 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) | |
| 76.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) | |
| 66.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) | |
| 17.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) | |
| 78.4% | (*.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 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 l d)) #s(literal 1 binary64))))) | |
| 81.9% | (*.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 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))) | |
| ▶ | 68.9% | (*.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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| 64.4% | (*.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) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) | |
| 79.9% | (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) | |
| 69.0% | (*.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 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) | |
| 63.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) | |
| 17.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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)))))) | |
| ▶ | 53.7% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
| 55.3% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) | |
| ✓ | 65.6% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 53.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 1 356 to 1 053 computations (22.3% saved)
| 1× | egg-herbie |
Found 20 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 (/.f64 D d) M) M)) (*.f64 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 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) | |
| 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 M M) D) D) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 673 |
| 0 | 119 | 673 |
| 1 | 260 | 631 |
| 2 | 1124 | 627 |
| 3 | 4150 | 623 |
| 0 | 8488 | 617 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) |
(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
D |
d |
#s(literal 2 binary64) |
M |
h |
l |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
w0 |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 D D) |
D |
(*.f64 (*.f64 d d) l) |
(*.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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) #s(literal 1 binary64))) |
(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 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 l d) d) |
(*.f64 l d) |
l |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) |
(*.f64 (*.f64 (/.f64 D d) M) M) |
(*.f64 (/.f64 D d) M) |
(/.f64 D d) |
D |
d |
M |
(*.f64 D h) |
h |
(*.f64 (*.f64 d #s(literal 2 binary64)) l) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
l |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
D |
(*.f64 (*.f64 (/.f64 D d) M) M) |
(*.f64 (/.f64 D d) M) |
(/.f64 D d) |
d |
M |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l) |
(/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) |
(*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) |
(pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
D |
d |
#s(literal 2 binary64) |
M |
h |
l |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h) #s(literal 1 binary64))) w0) |
w0 |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) h) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 D D) |
D |
(*.f64 (*.f64 d d) l) |
(*.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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) l) 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 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) l) 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 (*.f64 l d) d)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) l) d) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) l) 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 (*.f64 l d) d)) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 l d)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(pow.f64 (*.f64 M D) #s(literal 2 binary64)) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 l d) d) |
(*.f64 (*.f64 d d) l) |
(*.f64 l d) |
l |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 d d)) (/.f64 h l) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 d d)) (/.f64 h l) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 d d)) (/.f64 h l) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 2 binary64)) d) (/.f64 h l)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h) |
(*.f64 (*.f64 (/.f64 D d) M) M) |
(*.f64 (*.f64 M (/.f64 D d)) M) |
(*.f64 (/.f64 D d) M) |
(*.f64 M (/.f64 D d)) |
(/.f64 D d) |
D |
d |
M |
(*.f64 D h) |
(*.f64 h D) |
h |
(*.f64 (*.f64 d #s(literal 2 binary64)) l) |
(*.f64 (*.f64 #s(literal 2 binary64) d) l) |
(*.f64 d #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
l |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 d d)) (/.f64 h l) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 d d)) (/.f64 h l) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 d d)) (/.f64 h l) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 2 binary64)) d) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
D |
(*.f64 (*.f64 (/.f64 D d) M) M) |
(*.f64 (*.f64 M (/.f64 D d)) M) |
(*.f64 (/.f64 D d) M) |
(*.f64 M (/.f64 D d)) |
(/.f64 D d) |
d |
M |
(*.f64 d #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.124557855268279 | (*.f64 (/.f64 D d) M) | |
| accuracy | 6.07657066190927 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))))) | |
| accuracy | 6.361735957279932 | (*.f64 (/.f64 h l) D) | |
| accuracy | 9.429601304020405 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) | |
| accuracy | 4.124557855268279 | (*.f64 (/.f64 D d) M) | |
| accuracy | 4.639785797057073 | (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) | |
| accuracy | 6.07657066190927 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) | |
| accuracy | 8.598165423635841 | (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) | |
| accuracy | 3.168639602812067 | (*.f64 (*.f64 (*.f64 M M) D) D) | |
| accuracy | 6.044320253537878 | (*.f64 (*.f64 M M) D) | |
| accuracy | 6.073517816214646 | (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)))) | |
| accuracy | 16.244369377875152 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) | |
| accuracy | 7.5372757991426 | (*.f64 (*.f64 d d) l) | |
| accuracy | 12.766116339332301 | #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) | |
| accuracy | 14.95175034549495 | (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) | |
| accuracy | 16.14020939519099 | (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) | |
| accuracy | 3.8943351785607274 | (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) | |
| accuracy | 3.939701370261789 | (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) | |
| accuracy | 4.799857663788306 | (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l) | |
| accuracy | 6.073517816214646 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l))) |
| 142.0ms | 256× | 0 | valid |
Compiled 582 to 74 computations (87.3% saved)
ival-mult: 53.0ms (51.4% of total)ival-div: 19.0ms (18.4% of total)ival-pow2: 14.0ms (13.6% of total)ival-sqrt: 8.0ms (7.8% of total)ival-sub: 6.0ms (5.8% of total)ival-add: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 M M) 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 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (*.f64 M M) D) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(*.f64 (/.f64 D d) M) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/2 (/ (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (pow M 2)) |
(/ (* (pow D 2) (* (pow M 2) h)) d) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* d l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* 1/2 (/ (* D M) d)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (* 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))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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 (* (/ (* 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 -1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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 (* (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))))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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 (+ (* 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 (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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 (* 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))))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(* (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 (+ (* -1/8 (/ (* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (- (pow d 2) (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | h | @ | -inf | ((* w0 (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)))) (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (* (* M M) 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))) (* (* (* (/ D d) M) M) (* D h)) (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))) (* w0 (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))))) (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)))) (* (* (/ h l) D) (* (* (/ D d) M) M)) (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2)))) (* (pow (* (/ (/ D d) 2) M) 2) h) (* (/ (/ D d) 2) M) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)) (* (/ D d) M) (* (/ h l) D)) |
| 19.0ms | D | @ | inf | ((* w0 (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)))) (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (* (* M M) 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))) (* (* (* (/ D d) M) M) (* D h)) (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))) (* w0 (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))))) (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)))) (* (* (/ h l) D) (* (* (/ D d) M) M)) (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2)))) (* (pow (* (/ (/ D d) 2) M) 2) h) (* (/ (/ D d) 2) M) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)) (* (/ D d) M) (* (/ h l) D)) |
| 8.0ms | D | @ | 0 | ((* w0 (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)))) (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (* (* M M) 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))) (* (* (* (/ D d) M) M) (* D h)) (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))) (* w0 (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))))) (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)))) (* (* (/ h l) D) (* (* (/ D d) M) M)) (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2)))) (* (pow (* (/ (/ D d) 2) M) 2) h) (* (/ (/ D d) 2) M) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)) (* (/ D d) M) (* (/ h l) D)) |
| 8.0ms | w0 | @ | inf | ((* w0 (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)))) (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (* (* M M) 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))) (* (* (* (/ D d) M) M) (* D h)) (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))) (* w0 (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))))) (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)))) (* (* (/ h l) D) (* (* (/ D d) M) M)) (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2)))) (* (pow (* (/ (/ D d) 2) M) 2) h) (* (/ (/ D d) 2) M) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)) (* (/ D d) M) (* (/ h l) D)) |
| 6.0ms | D | @ | -inf | ((* w0 (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)))) (sqrt (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) h) l) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (* (* M M) 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))) (* (* (* (/ D d) M) M) (* D h)) (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))) (* w0 (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l))))) (sqrt (- 1 (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)))) (* (* (/ h l) D) (* (* (/ D d) M) M)) (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))) (* w0 (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2))))) (sqrt (- 1 (/ (* (* (/ h l) D) (* (* (/ D d) M) M)) (* d 2)))) (* (pow (* (/ (/ D d) 2) M) 2) h) (* (/ (/ D d) 2) M) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* d d) l) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ (* (* (* (/ D d) M) M) (* D h)) (* (* d 2) l)) (* (/ D d) M) (* (/ h l) D)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1100 | 9075 |
| 1 | 4283 | 8927 |
| 0 | 8317 | 8636 |
| 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 (* 1/2 (/ (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (* (pow M 2) h)) |
(* (pow D 2) (pow M 2)) |
(/ (* (pow D 2) (* (pow M 2) h)) d) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* d l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* 1/2 (/ (* D M) d)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (* 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))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/2 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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 (* (/ (* 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 -1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h 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 (* (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))))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/2 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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 (+ (* 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 (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h 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 (* 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))))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ 1 h) (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* 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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(* (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 (+ (* -1/8 (/ (* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 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 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (- (pow d 2) (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) 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 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (*.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 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) 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 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h M) (*.f64 h M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.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 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)) |
(* (pow D 2) (* (pow M 2) h)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(* (pow D 2) (pow M 2)) |
(*.f64 (*.f64 M M) (*.f64 D D)) |
(/ (* (pow D 2) (* (pow M 2) h)) d) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) |
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) w0) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (*.f64 M M) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)))) (*.f64 M M) w0) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
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(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64)) (*.f64 d d))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/8 binary64)) (*.f64 d d)) #s(literal 1 binary64)) |
(/ (- (pow d 2) (* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64)) (*.f64 d d))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 511 |
| 0 | 119 | 511 |
| 1 | 400 | 473 |
| 2 | 2712 | 469 |
| 0 | 8180 | 469 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 M M) 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 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (*.f64 M M) D) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(*.f64 (/.f64 D d) M) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l))) w0) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l) #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) l) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l))))))) |
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(*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d d)) (/.f64 D l)) |
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) M) l)) |
(*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) |
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 (*.f64 D D) (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 D D) (*.f64 l d))) |
(*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d d))) |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M D) M)) |
(*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 M (/.f64 D d)) M) (/.f64 D (*.f64 l d))) |
(*.f64 (*.f64 (*.f64 M D) M) (/.f64 D (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l))) |
(*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l)) |
(*.f64 D (/.f64 (*.f64 (*.f64 M D) M) (*.f64 (*.f64 d d) l))) |
(*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 d d) l)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) M) (/.f64 D d))) (neg.f64 (*.f64 l d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) D)) (neg.f64 d)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) (neg.f64 l)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) l))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) (neg.f64 (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) (/.f64 D d)) (*.f64 l d)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) D) d) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (neg.f64 (*.f64 l 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)) (*.f64 d d)) l) |
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) l)) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) l) d) |
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 l d)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (neg.f64 l) (*.f64 d d))) |
(/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) |
(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 (neg.f64 l) (*.f64 d d)))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (*.f64 (*.f64 d d) l)) (/.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 (neg.f64 M) D) (neg.f64 M)) |
(*.f64 (neg.f64 M) (*.f64 (neg.f64 M) D)) |
(*.f64 (*.f64 M D) M) |
(*.f64 (*.f64 M M) D) |
(*.f64 M (*.f64 M D)) |
(*.f64 D (*.f64 M M)) |
(fabs.f64 (*.f64 (neg.f64 D) (*.f64 M M))) |
(fabs.f64 (*.f64 (*.f64 M M) (neg.f64 D))) |
(fabs.f64 (*.f64 (*.f64 M D) M)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 #s(literal 2 binary64) d)) (/.f64 h l)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64)))) (*.f64 (/.f64 h l) D)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M (/.f64 D d)) M)) (*.f64 (/.f64 h d) (/.f64 D (*.f64 l #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))) (/.f64 h l)) D) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))) D) (/.f64 h l)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) D) d)) (*.f64 M (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) D)) (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 D d)) d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h (*.f64 l #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 h l) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d)) |
(*.f64 (/.f64 (/.f64 h l) d) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 h l) D) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) d)) |
(*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l)) |
(*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l)) |
(*.f64 (/.f64 (*.f64 M (/.f64 D d)) l) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 (*.f64 h D) d) (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) (*.f64 l #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) d) (/.f64 (*.f64 (/.f64 h l) D) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) d) (/.f64 (*.f64 h D) (*.f64 l #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 M (/.f64 D d)) d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 h d) (/.f64 D (*.f64 l #s(literal 2 binary64)))) (*.f64 (*.f64 M (/.f64 D d)) M)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) l) (/.f64 h (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h (*.f64 (*.f64 #s(literal 2 binary64) d) l))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 D d)) (/.f64 M (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.f64 (*.f64 h D) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (*.f64 M (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 h l) D) d)) |
(*.f64 (/.f64 (*.f64 (/.f64 h l) D) d) (*.f64 M (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)) |
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h (*.f64 l #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64)))) |
(*.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 h l) (*.f64 D (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))))) |
(*.f64 (*.f64 h D) (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) |
(*.f64 (*.f64 (*.f64 M (/.f64 D d)) M) (*.f64 (/.f64 h d) (/.f64 D (*.f64 l #s(literal 2 binary64))))) |
(*.f64 (*.f64 M (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) |
(*.f64 (*.f64 M (/.f64 D d)) (*.f64 M (*.f64 (/.f64 h d) (/.f64 D (*.f64 l #s(literal 2 binary64)))))) |
(*.f64 M (*.f64 (*.f64 M (/.f64 D d)) (*.f64 (/.f64 h d) (/.f64 D (*.f64 l #s(literal 2 binary64)))))) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) (*.f64 (/.f64 h d) (/.f64 D (*.f64 l #s(literal 2 binary64)))))) |
(*.f64 D (*.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h (*.f64 l #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l)) #s(literal 2 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h #s(literal 2 binary64))))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (neg.f64 h)))) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h))) (*.f64 (*.f64 #s(literal -2 binary64) l) d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 h l) D) d) (*.f64 (*.f64 M (/.f64 D d)) M))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))) (*.f64 h D))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)))) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l)))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 h l)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h #s(literal 2 binary64))))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (neg.f64 h)))) (*.f64 (*.f64 #s(literal -2 binary64) l) d)) |
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l)) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) d) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h #s(literal 2 binary64)))) l) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (neg.f64 h))) (*.f64 (*.f64 #s(literal -2 binary64) l) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 h l) D) d) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) #s(literal 2 binary64))) (*.f64 h D)) l) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l))) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 h l)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d))) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h #s(literal 2 binary64)))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (neg.f64 h))) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d d))) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 d d)) (*.f64 l #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 h l) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) d) (/.f64 h #s(literal 2 binary64))) l) |
(/.f64 (*.f64 (neg.f64 (/.f64 h l)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (neg.f64 h)) (*.f64 (*.f64 #s(literal -2 binary64) l) d)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (/.f64 h l)) (*.f64 #s(literal -2 binary64) d))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) h) (*.f64 (*.f64 #s(literal -2 binary64) l) d))) |
(*.f64 M (/.f64 D d)) |
(*.f64 (/.f64 D d) M) |
(*.f64 D (/.f64 M d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d)) |
(/.f64 (*.f64 M D) d) |
(*.f64 (/.f64 h l) D) |
(*.f64 h (/.f64 D l)) |
(*.f64 D (/.f64 h l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) (neg.f64 (neg.f64 l))) |
(/.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 h D) l) |
Compiled 29 522 to 4 065 computations (86.2% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 14 | 695 |
| Fresh | 6 | 10 | 16 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 692 | 25 | 717 |
| Status | Accuracy | Program |
|---|---|---|
| 81.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| 77.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) | |
| 84.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))) | |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) | |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) | |
| 76.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) | |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l))))) | |
| 17.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) | |
| 81.9% | (*.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 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))) | |
| 78.7% | (*.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 D) M) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) | |
| 69.1% | (*.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 D) D) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| ▶ | 84.9% | (*.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 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64))))) |
| ▶ | 79.9% | (*.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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))))) |
| 69.0% | (*.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 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) | |
| ▶ | 63.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
| 17.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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)))))) | |
| 57.3% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) | |
| 67.3% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| 76.2% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) | |
| ▶ | 66.0% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
| 53.8% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) | |
| 64.4% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) | |
| ▶ | 16.0% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
| ✓ | 65.6% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 53.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 1 698 to 1 281 computations (24.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) | |
| cost-diff | 1 | (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) | |
| 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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) | |
| cost-diff | 0 | #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) | |
| cost-diff | 0 | #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))))) | |
| cost-diff | 0 | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) | |
| 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 (/.f64 D d)) M) 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 (/.f64 D d)) M) 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 (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.f64 D d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 909 |
| 0 | 124 | 905 |
| 1 | 270 | 844 |
| 2 | 1092 | 836 |
| 3 | 4819 | 836 |
| 0 | 8411 | 835 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (/.f64 D d)) M) 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 (/.f64 D d)) M) 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 (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) 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 (/.f64 D d)) M) l) (/.f64 D d)) |
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) |
(*.f64 (*.f64 M (/.f64 D d)) M) |
(*.f64 M (/.f64 D d)) |
M |
(/.f64 D d) |
D |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
w0 |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))))) |
#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 D D) |
D |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
w0 |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) |
(*.f64 (*.f64 h D) D) |
(*.f64 h D) |
h |
D |
(*.f64 l 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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) |
(/.f64 D (*.f64 l d)) |
D |
(*.f64 l d) |
l |
d |
(*.f64 (*.f64 M (/.f64 D d)) M) |
(*.f64 M (/.f64 D d)) |
M |
(/.f64 D d) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) |
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
l |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 D D)) |
#s(literal 1/4 binary64) |
(*.f64 D D) |
D |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 h d) |
h |
| 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 (*.f64 M (/.f64 D d)) M) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #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 (/.f64 D d)) M) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #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 (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #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 (/.f64 D d)) M) l) (/.f64 D d)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) d) l) |
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) l) |
(*.f64 (*.f64 M (/.f64 D d)) M) |
(*.f64 (*.f64 (/.f64 D d) M) M) |
(*.f64 M (/.f64 D d)) |
(*.f64 (/.f64 D d) M) |
M |
(/.f64 D d) |
D |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d)))) w0) |
w0 |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) |
#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 (/.f64 h d) l)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(*.f64 D D) |
D |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))) w0) |
w0 |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 (/.f64 h d) l)) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) l) h) D) |
(*.f64 (*.f64 h D) D) |
(*.f64 h D) |
h |
D |
(*.f64 l 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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) d) l) |
(/.f64 D (*.f64 l d)) |
(/.f64 (/.f64 D d) l) |
D |
(*.f64 l d) |
l |
d |
(*.f64 (*.f64 M (/.f64 D d)) M) |
(*.f64 (*.f64 (/.f64 D d) M) M) |
(*.f64 M (/.f64 D d)) |
(*.f64 (/.f64 D d) M) |
M |
(/.f64 D d) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #s(literal 1 binary64))) |
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 (/.f64 h d) l) #s(literal 1 binary64)) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) (/.f64 h d) l) |
l |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(*.f64 (*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) d)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 D D)) |
#s(literal 1/4 binary64) |
(*.f64 D D) |
D |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 h d) |
h |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.073517816214646 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) | |
| accuracy | 7.253196191324934 | (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) | |
| accuracy | 7.371049933045159 | (/.f64 (*.f64 M M) d) | |
| accuracy | 15.842772997441317 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) | |
| accuracy | 4.124557855268279 | (*.f64 M (/.f64 D d)) | |
| accuracy | 6.073517816214646 | (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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64)))) | |
| accuracy | 7.910960439184174 | (*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) | |
| accuracy | 8.836846719985221 | (/.f64 D (*.f64 l d)) | |
| accuracy | 7.371049933045159 | (/.f64 (*.f64 M M) d) | |
| accuracy | 9.003858314883116 | (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) | |
| accuracy | 11.20437955769488 | (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) | |
| accuracy | 12.766116339332301 | #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64))) | |
| accuracy | 12.766116339332301 | #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))))) | |
| accuracy | 14.95175034549495 | (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) | |
| accuracy | 16.14020939519099 | (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) | |
| accuracy | 39.51003243622343 | #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) | |
| accuracy | 4.124557855268279 | (*.f64 M (/.f64 D d)) | |
| accuracy | 5.25567059428909 | (*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.f64 D d)) | |
| accuracy | 6.073517816214646 | (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 (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64)))) | |
| accuracy | 6.58189981443739 | (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) |
| 172.0ms | 256× | 0 | valid |
Compiled 608 to 68 computations (88.8% saved)
ival-mult: 50.0ms (52.3% of total)ival-div: 28.0ms (29.3% of total)ival-add: 5.0ms (5.2% of total)ival-pow2: 5.0ms (5.2% of total)ival-sub: 4.0ms (4.2% of total)ival-sqrt: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.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 M (/.f64 D d)) M) 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 (/.f64 D d)) M) 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 (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))))) |
#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)) |
(*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) |
(*.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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) |
(*.f64 M (/.f64 D d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) |
(/.f64 (*.f64 M M) d) |
(/.f64 D (*.f64 l d)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(/ (* (pow D 2) (pow M 2)) (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* (pow D 2) (* (pow M 2) h)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D M) d) |
(/ (pow M 2) d) |
(/ (* (pow M 2) h) (pow d 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))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 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)))))))) |
(+ 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 (* (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))))))))) |
(/ (* (pow D 2) h) (* d l)) |
(/ D (* d 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2))))) |
(* -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 (+ (* 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)))))))) |
(+ 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 (* 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))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
(* -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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))) |
(/ (+ (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 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)))))) |
(+ 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 (+ (* -1/8 (/ (* (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))))))) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (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 (/ (+ (* 1/128 (/ (* (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 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(/ (+ (* 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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | M | @ | -inf | ((* (/ (* (* M (/ D d)) M) l) (/ 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))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (/ (* M M) d) (/ (* (* h D) D) (* l d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* h D) D) (* l d)))) 1) (* (/ D (* l d)) (* (* M (/ D d)) M)) (* 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* (* M (/ D d)) M) l) (* M (/ D d)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* h D) D) (* l d)) (/ (* M M) d) (/ D (* l d)) (* (/ (* M M) d) (/ h d))) |
| 5.0ms | l | @ | inf | ((* (/ (* (* M (/ D d)) M) l) (/ 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))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (/ (* M M) d) (/ (* (* h D) D) (* l d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* h D) D) (* l d)))) 1) (* (/ D (* l d)) (* (* M (/ D d)) M)) (* 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* (* M (/ D d)) M) l) (* M (/ D d)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* h D) D) (* l d)) (/ (* M M) d) (/ D (* l d)) (* (/ (* M M) d) (/ h d))) |
| 5.0ms | D | @ | -inf | ((* (/ (* (* M (/ D d)) M) l) (/ 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))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (/ (* M M) d) (/ (* (* h D) D) (* l d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* h D) D) (* l d)))) 1) (* (/ D (* l d)) (* (* M (/ D d)) M)) (* 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* (* M (/ D d)) M) l) (* M (/ D d)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* h D) D) (* l d)) (/ (* M M) d) (/ D (* l d)) (* (/ (* M M) d) (/ h d))) |
| 5.0ms | d | @ | -inf | ((* (/ (* (* M (/ D d)) M) l) (/ 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))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (/ (* M M) d) (/ (* (* h D) D) (* l d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* h D) D) (* l d)))) 1) (* (/ D (* l d)) (* (* M (/ D d)) M)) (* 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* (* M (/ D d)) M) l) (* M (/ D d)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* h D) D) (* l d)) (/ (* M M) d) (/ D (* l d)) (* (/ (* M M) d) (/ h d))) |
| 5.0ms | D | @ | inf | ((* (/ (* (* M (/ D d)) M) l) (/ 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))) (* (* (* M M) h) (* D D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (* (/ (* M M) d) (/ (* (* h D) D) (* l d))) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (+ (* -1/8 (* (/ (* M M) d) (/ (* (* h D) D) (* l d)))) 1) (* (/ D (* l d)) (* (* M (/ D d)) M)) (* 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* (* M (/ D d)) M) l) (* M (/ D d)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (/ (* (* h D) D) (* l d)) (/ (* M M) d) (/ D (* l d)) (* (/ (* M M) d) (/ h d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 675 | 4798 |
| 1 | 2545 | 4726 |
| 0 | 8602 | 4570 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(/ (* (pow D 2) (pow M 2)) (* (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 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* (pow D 2) (* (pow M 2) h)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(/ (* D (pow M 2)) (* d l)) |
(/ (* D M) d) |
(/ (pow M 2) d) |
(/ (* (pow M 2) h) (pow d 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))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 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)))))))) |
(+ 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 (* (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))))))))) |
(/ (* (pow D 2) h) (* d l)) |
(/ D (* d 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 (+ (* 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))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2))))) |
(* -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 (+ (* 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)))))))) |
(+ 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 (* 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))))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
(* -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))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))) |
(/ (+ (* 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) |
(/ (+ (* 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) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 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)))))) |
(+ 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 (+ (* -1/8 (/ (* (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))))))) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (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 (/ (+ (* 1/128 (/ (* (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 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(/ (+ (* 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) |
(/ (+ (* 1/2 (* (/ (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) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
| 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) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
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 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D 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 -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h w0) d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) h)) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (*.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 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (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) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M))) (*.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 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) 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 -1/8 binary64) l) (*.f64 (/.f64 h d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) h)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.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 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #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) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) |
(* (pow D 2) (* (pow M 2) h)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 M M) h) d)) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64) l) |
(/ (* D (pow M 2)) (* d l)) |
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d)) |
(/ (* D M) d) |
(/.f64 (*.f64 D M) d) |
(/ (pow M 2) d) |
(/.f64 (*.f64 M M) d) |
(/ (* (pow M 2) h) (pow d 2)) |
(*.f64 (/.f64 h d) (/.f64 (*.f64 M M) 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)) |
(* 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 (*.f64 w0 d) (*.f64 (*.f64 M M) D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M M) D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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 #s(literal 1/16 binary64) (/.f64 (*.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 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M M) D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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))) |
(* 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 (/.f64 d (*.f64 (*.f64 M M) D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 d (*.f64 (*.f64 M M) D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (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 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 d (*.f64 (*.f64 M M) D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* -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 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 D M)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d (*.f64 D M)) (/.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h l) #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d (*.f64 D M)) (/.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h l) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64) l) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) l) l) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64) 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)))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (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 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (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 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 w0 (pow.f64 D #s(literal 6 binary64)))) (pow.f64 d #s(literal 6 binary64))) w0)) |
(+ 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 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (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) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (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 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64))) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) l) 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))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) #s(literal 1/8 binary64))) 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))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 w0 (pow.f64 D #s(literal 6 binary64)))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) (neg.f64 l))) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) (neg.f64 l))) l)) |
(* -1 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(*.f64 (neg.f64 l) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 D M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 D M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1/4 binary64))) (*.f64 d d))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 d d) l (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)))) (*.f64 d d)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 678 |
| 0 | 123 | 675 |
| 1 | 402 | 627 |
| 2 | 2666 | 603 |
| 0 | 9410 | 603 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) (/.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 M (/.f64 D d)) M) 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 (/.f64 D d)) M) 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 (/.f64 D d)) M) l) (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))))) |
#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)) |
(*.f64 (/.f64 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) |
(*.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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
(/.f64 (*.f64 (*.f64 M (/.f64 D d)) M) l) |
(*.f64 M (/.f64 D d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) |
(/.f64 (*.f64 M M) d) |
(/.f64 D (*.f64 l d)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 D d) l) M) (*.f64 (/.f64 D d) M)) |
(*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) d) (/.f64 D l)) |
(*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) l) M) (/.f64 D d)) M) |
(*.f64 (/.f64 (/.f64 D d) l) (*.f64 (*.f64 (/.f64 D d) M) M)) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) l) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 (/.f64 D d) l)) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 M (/.f64 (/.f64 D d) l))) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 M l) (/.f64 D d))) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) l)) |
(*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 l d))) |
(*.f64 M (*.f64 (*.f64 (/.f64 (/.f64 D d) l) M) (/.f64 D d))) |
(/.f64 (*.f64 (/.f64 D l) (*.f64 (*.f64 (/.f64 D d) M) M)) d) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D d) M)) (/.f64 D d)) (neg.f64 l)) |
(/.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) l)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D l)) d) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) M) l) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (neg.f64 M) (*.f64 (/.f64 D d) M))) (neg.f64 l)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (*.f64 (neg.f64 d) l)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))) (neg.f64 l)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D d) M)) (neg.f64 D)) (*.f64 (neg.f64 l) (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D d) M)) D) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (neg.f64 D)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (neg.f64 M) (*.f64 (/.f64 D d) M))) (*.f64 (neg.f64 d) (neg.f64 l))) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 D (*.f64 (neg.f64 M) (*.f64 (/.f64 D d) M))) (*.f64 (neg.f64 d) l)) |
(/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) l) d) |
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (*.f64 l d)) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 D)) (neg.f64 D)) |
(*.f64 (*.f64 (*.f64 M M) D) (*.f64 h D)) |
(*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) |
(*.f64 (*.f64 (*.f64 D D) M) (*.f64 h M)) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) |
(*.f64 (neg.f64 M) (*.f64 (neg.f64 M) (*.f64 (*.f64 h D) D))) |
(*.f64 (neg.f64 D) (*.f64 (neg.f64 D) (*.f64 (*.f64 M M) h))) |
(*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(*.f64 (*.f64 D M) (*.f64 (*.f64 D M) h)) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (*.f64 M M) (*.f64 (*.f64 h D) D)) |
(*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(*.f64 D (*.f64 (*.f64 (*.f64 M M) h) D)) |
(*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) |
(*.f64 M (*.f64 M (*.f64 (*.f64 h D) D))) |
(*.f64 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l)))) w0) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l))))) |
#s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l)))) |
#s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)) M) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) d) (*.f64 D (/.f64 h l))) (/.f64 D d)) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) d) (*.f64 h D)) (/.f64 (/.f64 D d) l)) |
(*.f64 (/.f64 (/.f64 (*.f64 M M) d) l) (/.f64 (*.f64 (*.f64 h D) D) d)) |
(*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (*.f64 h (/.f64 (*.f64 D D) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) (/.f64 D (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 (/.f64 D d) l)) |
(*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (*.f64 D D) (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (*.f64 h (/.f64 (*.f64 D D) l))) |
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d))) |
(*.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)) (*.f64 (*.f64 M M) h)) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) d) h) (/.f64 (*.f64 D D) (*.f64 l d))) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) |
(*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d))) |
(*.f64 (*.f64 D (/.f64 h l)) (*.f64 (/.f64 D d) (/.f64 (*.f64 M M) d))) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (/.f64 (*.f64 D D) l)) |
(*.f64 (/.f64 h d) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 D D) l))) |
(*.f64 (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)) (/.f64 (*.f64 M M) d)) |
(*.f64 (*.f64 h D) (*.f64 (/.f64 (/.f64 D d) l) (/.f64 (*.f64 M M) d))) |
(*.f64 (/.f64 (*.f64 M M) d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l))) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l))) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)) d)) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 M M) (*.f64 h (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) |
(*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) |
(*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) |
(*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d) l) d) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) d) h) (/.f64 (*.f64 D D) l)) d) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D D) l)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D D) l)) (/.f64 (*.f64 M M) d)) d) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)) (*.f64 (neg.f64 M) M)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) d) (*.f64 h (/.f64 (*.f64 D D) l))) d) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) d) (*.f64 (neg.f64 h) (*.f64 D D))) (*.f64 (neg.f64 d) l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 (*.f64 d (*.f64 (neg.f64 d) l)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d))) (neg.f64 l)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 l d))) (neg.f64 d)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D D) l)) (*.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D D) l)) (*.f64 M M)) (*.f64 d d)) |
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(/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D D) l)) (*.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D D) l)) (*.f64 M M)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 (neg.f64 M) M)) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) |
(/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 (neg.f64 M) M)) (*.f64 (*.f64 l d) (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (*.f64 h (/.f64 (*.f64 D D) l))) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (*.f64 (neg.f64 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 (*.f64 M M) (*.f64 h (/.f64 (*.f64 D D) l))) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 l d)) d) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d) (*.f64 l d)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) l) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (*.f64 d d) l))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d (*.f64 (neg.f64 d) l)))) |
(*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)) |
(*.f64 (/.f64 D l) (/.f64 (*.f64 h D) d)) |
(*.f64 (*.f64 D (/.f64 h l)) (/.f64 D d)) |
(*.f64 (/.f64 h d) (/.f64 (*.f64 D D) l)) |
(*.f64 (/.f64 (/.f64 D d) l) (*.f64 h D)) |
(*.f64 (*.f64 h D) (/.f64 (/.f64 D d) l)) |
(*.f64 (/.f64 h l) (/.f64 (*.f64 D D) d)) |
(*.f64 h (*.f64 D (/.f64 (/.f64 D d) l))) |
(*.f64 h (/.f64 (*.f64 D D) (*.f64 l d))) |
(*.f64 (/.f64 D d) (*.f64 D (/.f64 h l))) |
(*.f64 D (/.f64 (*.f64 h D) (*.f64 l d))) |
(*.f64 D (*.f64 h (/.f64 (/.f64 D d) l))) |
(/.f64 (*.f64 (*.f64 h D) (/.f64 D d)) l) |
(/.f64 (*.f64 (*.f64 D (/.f64 h l)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 D (/.f64 h l)) D) d) |
(/.f64 (/.f64 (*.f64 (*.f64 h D) D) d) l) |
(/.f64 (neg.f64 (*.f64 h (/.f64 (*.f64 D D) l))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 D D))) (neg.f64 (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 h (/.f64 (*.f64 D D) l)) d) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 l d))) |
(neg.f64 (/.f64 (*.f64 (*.f64 h D) D) (*.f64 (neg.f64 d) l))) |
(*.f64 (/.f64 M d) M) |
(*.f64 (neg.f64 M) (/.f64 (neg.f64 M) d)) |
(*.f64 M (/.f64 M d)) |
(/.f64 (*.f64 (neg.f64 M) M) (neg.f64 d)) |
(/.f64 (*.f64 M M) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 M M) d) |
(neg.f64 (/.f64 (*.f64 (neg.f64 M) M) d)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 M) M) d)) |
(fabs.f64 (/.f64 (*.f64 M M) d)) |
(/.f64 (neg.f64 (/.f64 D l)) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 D)) (neg.f64 (*.f64 (neg.f64 d) l))) |
(/.f64 (/.f64 D l) d) |
(/.f64 (neg.f64 D) (*.f64 (neg.f64 d) l)) |
(/.f64 (/.f64 D d) l) |
(/.f64 D (*.f64 l d)) |
(neg.f64 (/.f64 D (*.f64 (neg.f64 d) l))) |
(neg.f64 (/.f64 (neg.f64 D) (*.f64 l d))) |
(*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) |
(*.f64 (/.f64 h (neg.f64 d)) (/.f64 (*.f64 (neg.f64 M) M) d)) |
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (*.f64 h M) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (neg.f64 M) M) d) (/.f64 h (neg.f64 d))) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 h M) d)) |
(*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(*.f64 (*.f64 M M) (/.f64 (/.f64 h d) d)) |
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) |
(*.f64 h (/.f64 (*.f64 M M) (*.f64 d d))) |
(*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))) |
(*.f64 M (*.f64 (/.f64 M d) (/.f64 h d))) |
(/.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 M M) d)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h d)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 h d) (*.f64 (neg.f64 M) M)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) d) (neg.f64 h)) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 d)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M M) d) h)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) h)) (neg.f64 (*.f64 d d))) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) M)) (*.f64 d d)) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 h (*.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 h)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) h) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 d (neg.f64 d))) |
(/.f64 (*.f64 (/.f64 (*.f64 M M) d) h) d) |
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) |
Compiled 20 790 to 2 568 computations (87.6% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 10 | 420 |
| Fresh | 6 | 13 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 419 | 26 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| 81.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| 77.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) | |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) | |
| 76.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) | |
| 77.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l))))) | |
| 17.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) | |
| 69.1% | (*.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 D) D) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| ✓ | 79.9% | (*.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 D (*.f64 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #s(literal 1 binary64))))) |
| 81.5% | (*.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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #s(literal 1 binary64))))) | |
| 82.6% | (*.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 (/.f64 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) | |
| 69.0% | (*.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 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) | |
| 82.2% | (*.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 (/.f64 D d) M) M) (*.f64 l d))) #s(literal 1 binary64))))) | |
| 66.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) l)))) | |
| 60.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))))) l)))) | |
| 17.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) | |
| 57.3% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) | |
| 55.0% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) | |
| 76.2% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) | |
| 67.7% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) | |
| 53.8% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) | |
| 72.2% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) | |
| 64.4% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) | |
| ✓ | 16.0% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
| 18.7% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) | |
| ✓ | 65.6% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 53.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 2 778 to 1 122 computations (59.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.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 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D) M) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) l)))) |
(*.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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 M (/.f64 D d)) M) 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 D d) (*.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 l) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) |
15 calls:
| 400.0ms | (*.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))))) |
| 21.0ms | (*.f64 #s(literal 2 binary64) d) |
| 15.0ms | D |
| 15.0ms | l |
| 13.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 1 | (/.f64 h l) |
| 87.4% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 84.9% | 1 | (*.f64 M D) |
| 89.5% | 3 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 89.1% | 3 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 88.7% | 3 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 88.0% | 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))) |
| 88.3% | 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)))) |
| 88.3% | 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))))) |
| 84.9% | 1 | w0 |
| 86.8% | 2 | M |
| 84.9% | 1 | D |
| 86.8% | 2 | h |
| 86.6% | 2 | l |
| 87.4% | 2 | 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))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.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 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D) M) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) l)))) |
(*.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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 M (/.f64 D d)) M) 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 D d) (*.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) 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 (/.f64 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))) |
3 calls:
| 13.0ms | (*.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))))) |
| 11.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 9.0ms | (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 |
|---|---|---|
| 89.5% | 3 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 84.9% | 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)))) |
| 84.9% | 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))))) |
Compiled 41 to 43 computations (-4.9% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.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 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D) M) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) l)))) |
(*.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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 M (/.f64 D d)) M) 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 D d) (*.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) |
2 calls:
| 10.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 8.0ms | (-.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 |
|---|---|---|
| 84.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 89.2% | 3 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
Compiled 22 to 25 computations (-13.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.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 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D) M) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) l)))) |
(*.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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 M (/.f64 D d)) M) 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 D d) (*.f64 (/.f64 M d) M)) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (/.f64 D d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 (*.f64 h D) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (/.f64 D d) M) M)) (*.f64 d #s(literal 2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64)) (*.f64 (/.f64 D d) M))))) |
| 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #s(literal 1 binary64))))) |
4 calls:
| 739.0ms | d |
| 12.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 11.0ms | (*.f64 #s(literal 2 binary64) d) |
| 9.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 86.7% | 2 | d |
| 87.3% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 87.3% | 2 | (/.f64 (*.f64 M D) (*.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))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.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 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 l d)) (*.f64 (*.f64 M (/.f64 D d)) M)) #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 D) M) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h M) (*.f64 d d))))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h D) M) (*.f64 M (/.f64 D d))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (*.f64 D h)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) 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 D (*.f64 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 14.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 12.0ms | (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 | M |
| 9.0ms | l |
| 9.0ms | w0 |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 1 | w0 |
| 83.9% | 2 | (/.f64 h l) |
| 84.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 84.6% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 82.2% | 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))))) |
| 83.8% | 2 | D |
| 86.0% | 3 | (*.f64 M D) |
| 82.2% | 1 | l |
| 84.0% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 84.0% | 2 | d |
| 82.2% | 1 | h |
| 82.2% | 1 | M |
| 84.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 84.6% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 84.6% | 2 | (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))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.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 (*.f64 (/.f64 D d) M) M) (/.f64 D (*.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 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 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 D) D) M) (*.f64 (*.f64 l 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 D d) M) M) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
6 calls:
| 7.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 6.0ms | (*.f64 M D) |
| 6.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 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 #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 |
|---|---|---|
| 86.0% | 3 | (*.f64 M D) |
| 82.2% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 82.2% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 82.2% | 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))) |
| 82.2% | 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)))) |
| 84.2% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 63 to 72 computations (-14.3% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.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 (/.f64 D d) M) M) (*.f64 l d))) #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 (/.f64 D d) M) M) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | (*.f64 M D) |
| 5.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 84.2% | 2 | (*.f64 M D) |
Compiled 16 to 20 computations (-25% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 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 M D) D) M) (*.f64 (*.f64 l 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 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 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 h D) d) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) 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 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 7.0ms | (/.f64 h l) |
| 7.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 6.0ms | d |
| 6.0ms | (*.f64 #s(literal 2 binary64) d) |
| 6.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 1 | w0 |
| 76.2% | 1 | l |
| 76.2% | 1 | h |
| 80.1% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 80.1% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 82.8% | 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))) |
| 82.4% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 80.5% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 78.6% | 2 | M |
| 80.6% | 3 | D |
| 80.3% | 3 | (/.f64 h l) |
| 80.1% | 3 | (*.f64 #s(literal 2 binary64) d) |
| 80.1% | 3 | d |
| 83.8% | 3 | (*.f64 M D) |
| 82.9% | 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))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.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 M (*.f64 (*.f64 M D) (/.f64 D (*.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 M (*.f64 (*.f64 M D) (/.f64 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))) |
7 calls:
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 4.0ms | (*.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))))) |
| 4.0ms | (*.f64 M D) |
| 4.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 4.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 78.4% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 79.1% | 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))))) |
| 80.4% | 3 | (*.f64 M D) |
| 79.4% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 79.8% | 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))) |
| 79.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 81 to 89 computations (-9.9% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 l d)) (/.f64 D d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 3.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 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))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D D)) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) l) d)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.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:
| 4.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 3.0ms | (-.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))) |
| 3.0ms | (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 |
|---|---|---|
| 79.0% | 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)))) |
| 79.0% | 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))) |
| 79.1% | 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))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
2 calls:
| 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))))) |
| 1.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | (*.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))))) |
| 79.1% | 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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 27.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) d) |
| 1.0ms | w0 |
| 1.0ms | M |
| 1.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 65.6% | 1 | w0 |
| 65.6% | 1 | h |
| 65.6% | 1 | l |
| 65.6% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 65.6% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 65.6% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 65.6% | 1 | d |
| 65.6% | 1 | M |
| 65.6% | 1 | (/.f64 h l) |
| 65.6% | 1 | (*.f64 M D) |
| 65.6% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 65.6% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 65.6% | 1 | D |
| 65.6% | 1 | (*.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)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3620890050645278e+306 | 9.20734982948962e+306 |
Compiled 21 to 26 computations (-23.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8160836216668595e+266 | 4.22588813711518e+267 |
| 0.0ms | 3.189303809385503e-5 | 0.012062105509625496 |
Compiled 21 to 26 computations (-23.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5078519507787916e+268 | 6.942123149956561e+268 |
| 0.0ms | 3.189303809385503e-5 | 0.012062105509625496 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6928.516733673352 | 433216.1608021933 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2620021337549293e+24 | -1.3165596645307097e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.752069655001642e+72 | 3.5576053127289624e+77 |
| 0.0ms | 2.454087387236345e-163 | 2.2344921309718013e-158 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2620021337549293e+24 | -1.3165596645307097e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2620021337549293e+24 | -1.3165596645307097e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2620021337549293e+24 | -1.3165596645307097e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.876071575321289e+26 | -1.2620021337549293e+24 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2620021337549293e+24 | -1.3165596645307097e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2620021337549293e+24 | -1.3165596645307097e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 1011 |
| 1 | 253 | 1009 |
| 2 | 721 | 1009 |
| 3 | 4513 | 1009 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.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))))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (*.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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 7378697629483821/147573952589676412928 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 499999999999999986719112427080113652938759280561411875296856295993572982012222328347022202238434344507574583811498154595082912292011573470509174869654567731624061306729657053537019645905784664609824424453771502098945256093897234948185210396766581746711736446032543744 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 7378697629483821/147573952589676412928 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 10000 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 -999999999999999983222784 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 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 M D) #s(literal 6483618076376551/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 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 D) D) M) (*.f64 (*.f64 l 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 D d) M) M) (/.f64 D (*.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 -999999999999999983222784 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 (/.f64 D d) M) M) (*.f64 l 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 -999999999999999983222784 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 D) D) M) (*.f64 (*.f64 l 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 -999999999999999983222784 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 M (*.f64 (*.f64 M D) (/.f64 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 -500000000000000006643777536 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l 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 -999999999999999983222784 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.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 -999999999999999983222784 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.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))))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (*.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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 7378697629483821/147573952589676412928 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 499999999999999986719112427080113652938759280561411875296856295993572982012222328347022202238434344507574583811498154595082912292011573470509174869654567731624061306729657053537019645905784664609824424453771502098945256093897234948185210396766581746711736446032543744 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 (*.f64 (/.f64 M d) (*.f64 D h)) (*.f64 #s(literal 2 binary64) l))) #s(literal 2 binary64))))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 7378697629483821/147573952589676412928 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))))) |
(if (or (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 7378697629483821/147573952589676412928 binary64)) (not (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M l)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 4 binary64))) d))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 10000 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 D d) (*.f64 (/.f64 D d) M)) (/.f64 M 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 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #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 -999999999999999983222784 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 l d)) (*.f64 (*.f64 D (/.f64 M d)) M)) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 M D) #s(literal 6483618076376551/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 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 D) D) M) (*.f64 (*.f64 l 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 D d) M) M) (/.f64 D (*.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 -999999999999999983222784 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 (/.f64 D d) M) M) (*.f64 l 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 -999999999999999983222784 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 D) D) M) (*.f64 (*.f64 l 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 -999999999999999983222784 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 M (*.f64 (*.f64 M D) (/.f64 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 -500000000000000006643777536 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l 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 -999999999999999983222784 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) (*.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 -999999999999999983222784 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) #s(approx (+ (* -1/8 (/ (* (* (* M M) h) (* D D)) (* (* d d) l))) 1) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D M)) (*.f64 D M)) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 69 |
| 0 | 26 | 69 |
| 1 | 75 | 69 |
| 2 | 410 | 69 |
| 3 | 7218 | 69 |
| 0 | 8457 | 66 |
| 0 | 82 | 678 |
| 0 | 123 | 675 |
| 1 | 402 | 627 |
| 2 | 2666 | 603 |
| 0 | 9410 | 603 |
| 0 | 1090 | 8908 |
| 1 | 4257 | 8788 |
| 0 | 8249 | 8501 |
| 0 | 73 | 511 |
| 0 | 119 | 511 |
| 1 | 400 | 473 |
| 2 | 2712 | 469 |
| 0 | 8180 | 469 |
| 0 | 626 | 4390 |
| 1 | 2407 | 4334 |
| 0 | 9499 | 4188 |
| 0 | 1100 | 9075 |
| 1 | 4283 | 8927 |
| 0 | 8317 | 8636 |
| 0 | 61 | 467 |
| 0 | 103 | 467 |
| 1 | 317 | 429 |
| 2 | 2191 | 421 |
| 0 | 8674 | 421 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 011 to 174 computations (82.8% saved)
(negabs w0)
Compiled 3 912 to 1 408 computations (64% saved)
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