
Time bar (total: 13.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 6 |
| 15.4% | 12.5% | 68.6% | 0.2% | 0% | 18.7% | 0% | 7 |
| 16.7% | 12.5% | 62.3% | 0.2% | 0% | 24.9% | 0% | 8 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 9 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 10 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 11 |
| 22.9% | 14.8% | 49.9% | 0.2% | 0% | 35.1% | 0% | 12 |
Compiled 37 to 24 computations (35.1% saved)
| 3.1s | 13 183× | 0 | invalid |
| 1.6s | 8 256× | 0 | valid |
ival-pow2: 1.0s (26.6% of total)ival-mult: 932.0ms (24.6% of total)ival-div: 920.0ms (24.3% of total)ival-pow: 745.0ms (19.7% of total)ival-sub: 124.0ms (3.3% of total)exact: 23.0ms (0.6% of total)ival-true: 16.0ms (0.4% of total)ival-assert: 9.0ms (0.2% of total)adjust: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 3 | (-1.1267271960327321e-88 -1.2945591182675522e+225 -1.291470899608297e+186 -1.7435657528962142e-163 -7.478934690727548e+56) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 59 | 0 | - | 3 | (-3.5497482251030454e-204 -2.847655059713685e-60 -3.141257232209298e+115 -2.59082017773206e-267 -5.761327916234346e-307) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 32 | 1 | (-7.279431425640315e+282 -6.554790392293501e+189 -7.408069129829198e-72 1.0561115416096686e-48 -4.313424487000086e+39) | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
| 27 | 0 | - | 4 | (3.5964157171473143e-205 3.788112620492372e+219 8.206010469128153e-200 -1.476011833547725e-73 8.599290405334905e-240) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 19 | 0 | - | 1 | (1.761519346631102e-111 2.0309926400623037e+216 1.4097218664732982e+199 -1.438223068333676e-173 -2.8065995477239013e+192) | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 31 | 0 |
| ↳ | (/.f64 d h) | overflow | 31 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 31 | 0 |
| ↳ | (/.f64 d l) | overflow | 31 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 27 | 0 |
| ↳ | (/.f64 d h) | underflow | 27 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 25 | 0 |
| ↳ | (/.f64 d l) | underflow | 25 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 12 | 0 |
| ↳ | (*.f64 M D) | overflow | 41 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 11 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 7 | 0 |
| ↳ | (/.f64 d h) | underflow | 27 | |
| ↳ | (/.f64 d l) | underflow | 25 | |
| ↳ | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | underflow | 14 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 84 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 84 | |
| ↳ | (/.f64 h l) | overflow | 29 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | overflow | 91 | |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | overflow | 91 | |
| ↳ | (*.f64 M D) | overflow | 41 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 49 | |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*u | 4 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | o*u | 3 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 84 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 84 | |
| ↳ | (*.f64 M D) | overflow | 41 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 49 | |
| ↳ | (/.f64 h l) | underflow | 33 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 1 | 0 |
| ↳ | (*.f64 M D) | underflow | 23 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 76 | 9 |
| - | 41 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 76 | 0 | 9 |
| - | 41 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 139 |
| 1 | 83 |
| 2 | 27 |
| 3 | 6 |
| 4 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 106.0ms | 512× | 0 | valid |
Compiled 347 to 70 computations (79.8% saved)
ival-div: 23.0ms (29.6% of total)ival-mult: 23.0ms (29.6% of total)ival-pow: 21.0ms (27.1% of total)ival-pow2: 6.0ms (7.7% of total)ival-sub: 3.0ms (3.9% of total)ival-true: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 564 |
| 1 | 540 | 553 |
| 2 | 2122 | 548 |
| 3 | 6634 | 548 |
| 0 | 22 | 29 |
| 0 | 38 | 27 |
| 1 | 67 | 27 |
| 2 | 180 | 27 |
| 3 | 1202 | 27 |
| 4 | 4872 | 27 |
| 0 | 8241 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(abs D)
(abs M)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M 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) |
(/.f64 h l) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | d | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 25.0ms | D | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 16.0ms | h | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 10.0ms | d | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 7.0ms | h | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1465 |
| 1 | 557 | 1420 |
| 2 | 2156 | 1399 |
| 0 | 7539 | 1357 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx (/ d h) (/.f64 d h)) |
#s(approx d #s(hole binary64 d)) |
#s(approx d d) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (/ d l) (/.f64 d l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1 binary64))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) #s(literal 2 binary64))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ (* M D) (* 2 d)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* 2 d) (*.f64 #s(literal 2 binary64) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx h #s(hole binary64 h)) |
#s(approx h h) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (/ h l) (/.f64 h l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d h)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx l #s(hole binary64 l)) |
#s(approx l l) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx M #s(hole binary64 M)) |
#s(approx M M) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 h l)) (*.f64 M M) #s(literal 1 binary64))) |
#s(approx D #s(hole binary64 D)) |
#s(approx D D) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 132 |
| 0 | 38 | 126 |
| 1 | 110 | 124 |
| 0 | 671 | 122 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M 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) |
(/.f64 h l) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 h))) |
(/.f64 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
(neg.f64 (/.f64 (neg.f64 d) h)) |
(neg.f64 (/.f64 d (neg.f64 h))) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
(neg.f64 (/.f64 (neg.f64 d) l)) |
(neg.f64 (/.f64 d (neg.f64 l))) |
l |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)))) (*.f64 #s(literal 2 binary64) l)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) |
(fma.f64 (/.f64 h l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (/.f64 h l))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) l) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 h)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (*.f64 #s(literal 2 binary64) l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 D d))) |
(*.f64 (*.f64 M M) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) |
(*.f64 (fabs.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (fabs.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) (exp.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))) |
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) |
(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) d) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D (/.f64 M #s(literal 2 binary64)))) d) |
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (neg.f64 D) M)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 (neg.f64 D) M)) (*.f64 d (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 D M)) (*.f64 d (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) d) d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (neg.f64 D) M)) (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 D M)) (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) d) d)) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 (neg.f64 D) M)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 D d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) |
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64)) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (neg.f64 (*.f64 D (/.f64 M #s(literal 2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal 2 binary64) d))) |
(neg.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 1 binary64))) |
(*.f64 D M) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d)) |
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d)))) |
(fma.f64 #s(literal 1 binary64) d (*.f64 #s(literal 1 binary64) d)) |
(fma.f64 d #s(literal 1 binary64) (*.f64 d #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d)) |
(+.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))) |
(+.f64 d d) |
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 h) (neg.f64 l)) |
(/.f64 h l) |
(neg.f64 (/.f64 (neg.f64 h) l)) |
(neg.f64 (/.f64 h (neg.f64 l))) |
Compiled 9 190 to 1 035 computations (88.7% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 209 | 23 | 232 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 210 | 23 | 233 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 68.3% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| ▶ | 68.7% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 68.8% | (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 70.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
| 67.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)))) | |
| 55.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l)))) | |
| 26.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 (*.f64 M M) h) l)))) | |
| 35.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 40.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 36.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 41.1% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 57.7% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 41.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 33.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 41.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 16.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 13.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) | |
| 26.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)) | |
| 18.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 15.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 26.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 27.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
Compiled 1 982 to 1 306 computations (34.1% saved)
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) |
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(/.f64 D #s(literal 2 binary64)) |
D |
(/.f64 M d) |
M |
(*.f64 #s(literal 1/2 binary64) h) |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 l h) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(sqrt.f64 d) |
(sqrt.f64 h) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (pow (* (/ D 2) (/ M d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ D 2) (/ M d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ M d) #s(hole binary64 (/ M d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (sqrt d) #s(hole binary64 (sqrt d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* 1/2 h) #s(hole binary64 (* 1/2 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt h) #s(hole binary64 (sqrt h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (/ D 2) #s(hole binary64 (* 1/2 D))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | M | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h)) |
| 11.0ms | d | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h)) |
| 9.0ms | h | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h)) |
| 7.0ms | d | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h)) |
| 6.0ms | d | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 5835 |
| 1 | 1062 | 5592 |
| 2 | 3807 | 5550 |
| 0 | 8102 | 5376 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (pow (* (/ D 2) (/ M d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ D 2) (/ M d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ M d) #s(hole binary64 (/ M d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (sqrt d) #s(hole binary64 (sqrt d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* 1/2 h) #s(hole binary64 (* 1/2 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt h) #s(hole binary64 (sqrt h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (/ D 2) #s(hole binary64 (* 1/2 D))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
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#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (neg.f64 (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) h)) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)) |
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2))))) |
#s(approx (sqrt h) (*.f64 (sqrt.f64 h) #s(literal 1 binary64))) |
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#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx l #s(hole binary64 l)) |
#s(approx l l) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (/ d l)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (/ d l)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx M #s(hole binary64 M)) |
#s(approx M M) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* M D) (*.f64 M D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (/ D 2) #s(hole binary64 (* 1/2 D))) |
#s(approx (/ D 2) (*.f64 #s(literal 1/2 binary64) D)) |
#s(approx D #s(hole binary64 D)) |
#s(approx D D) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 453 |
| 0 | 108 | 438 |
| 1 | 276 | 417 |
| 0 | 1433 | 417 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) |
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(/.f64 D #s(literal 2 binary64)) |
D |
(/.f64 M d) |
M |
(*.f64 #s(literal 1/2 binary64) h) |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 l h) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(sqrt.f64 d) |
(sqrt.f64 h) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (+.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (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 (sqrt.f64 (*.f64 d (/.f64 d l))) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d l)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (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 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d l)))) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 h))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d l)))) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 h))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 d (/.f64 d l)))) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 h))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 d (/.f64 d l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 h))) |
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(/.f64 d h) |
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d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
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l |
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(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 h))) |
(neg.f64 (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 h)))) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) |
(pow.f64 d #s(literal 1/2 binary64)) |
(sqrt.f64 d) |
(exp.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal 1/4 binary64)) (pow.f64 h #s(literal 1/4 binary64))) |
(pow.f64 h #s(literal 1/2 binary64)) |
(sqrt.f64 h) |
(exp.f64 (*.f64 (log.f64 h) #s(literal 1/2 binary64))) |
Compiled 29 310 to 2 665 computations (90.9% saved)
38 alts after pruning (37 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 727 | 35 | 762 |
| Fresh | 16 | 2 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 747 | 38 | 785 |
| Status | Accuracy | Program |
|---|---|---|
| 41.5% | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) | |
| 57.5% | (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 68.6% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -1/2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.9% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 67.1% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.7% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 67.1% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 55.7% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 55.2% | (*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| 57.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| ▶ | 72.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
| 71.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))))) | |
| 45.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) | |
| 36.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| 36.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| 55.5% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 44.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| 41.0% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) | |
| 41.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 33.5% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) | |
| 34.7% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| ▶ | 34.1% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
| ▶ | 13.7% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l))) |
| 11.9% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) | |
| 39.6% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 26.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) | |
| 26.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 l #s(literal -1 binary64))) (sqrt.f64 h)) d)) | |
| ▶ | 26.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| 26.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))) d)) | |
| 15.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 27.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) | |
| ✓ | 26.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 27.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 43.4% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 17.7% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 18.6% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) | |
| 19.3% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
Compiled 3 194 to 2 170 computations (32.1% saved)
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
D |
M |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 #s(literal 1/2 binary64) h) |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) |
(*.f64 (/.f64 M d) D) |
(/.f64 M d) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) |
(*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) |
(*.f64 D D) |
(*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
#s(literal -1/8 binary64) |
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 d #s(literal 3 binary64))) |
(pow.f64 d #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) |
(pow.f64 (/.f64 h d) #s(literal 3 binary64)) |
(/.f64 h d) |
(sqrt.f64 (*.f64 h d)) |
(*.f64 h d) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (/ (/ D d) 2) M) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ (/ D d) 2) #s(hole binary64 (* 1/2 (/ D d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) #s(hole binary64 (* 1/4 (/ (* D (* M h)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (/ 1 (sqrt (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ M d) D) (* M D)) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (* (/ M d) D) #s(hole binary64 (/ (* D M) d))) |
#s(approx (/ M d) #s(hole binary64 (/ M d))) |
#s(approx (* 2 (* 2 d)) #s(hole binary64 (* 4 d))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (sqrt (/ h (pow d 3))))) |
#s(approx (/ h (pow d 3)) #s(hole binary64 (/ h (pow d 3)))) |
#s(approx (pow d 3) #s(hole binary64 (pow d 3))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (/ (+ (sqrt (* (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d (pow h 3)))))) (pow d 2)))) |
#s(approx (sqrt (pow (/ h d) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow d 3))))) |
#s(approx (pow (/ h d) 3) #s(hole binary64 (/ (pow h 3) (pow d 3)))) |
#s(approx (/ h d) #s(hole binary64 (/ h d))) |
#s(approx (sqrt (* h d)) #s(hole binary64 (sqrt (* d h)))) |
#s(approx (* h d) #s(hole binary64 (* d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (sqrt (* d h)))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* d (+ (sqrt (/ h d)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 5))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1 (* (sqrt (* d h)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ (pow h 3) (pow d 5))))) (* (sqrt (/ h d)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (pow (/ h d) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* (sqrt (* d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* 1/2 h) #s(hole binary64 (* 1/2 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (/ 1 (sqrt (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow h 2) (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))) (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ (pow h 3) (pow d 3))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (sqrt (pow (/ h d) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow d 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (* (* D D) (* (/ (* M M) l) -1/8)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) l)))) |
#s(approx (* (/ (* M M) l) -1/8) #s(hole binary64 (* -1/8 (/ (pow M 2) l)))) |
#s(approx (/ (* M M) l) #s(hole binary64 (/ (pow M 2) l))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow d 3))))) (* (sqrt (* d h)) l)) l))) |
#s(approx (* (* -1/8 (* D D)) (/ (* M M) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ (pow h 3) (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (* d h))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* -1/8 (* D D)) #s(hole binary64 (* -1/8 (pow D 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ (pow h 3) (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (* d h))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | M | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) (* (* (/ M d) D) (* M D)) (* (/ M d) D) (/ M d) (* M D) (* 2 (* 2 d)) (* 2 d) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) (* (* D D) (* (/ (* M M) l) -1/8)) (* D D) (* (/ (* M M) l) -1/8) (/ (* M M) l) (* M M) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (* (* -1/8 (* D D)) (/ (* M M) l)) (* -1/8 (* D D)) (sqrt (pow (/ h d) 3)) (pow (/ h d) 3) (/ h d) (sqrt (* h d)) (* h d)) |
| 38.0ms | h | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) (* (* (/ M d) D) (* M D)) (* (/ M d) D) (/ M d) (* M D) (* 2 (* 2 d)) (* 2 d) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) (* (* D D) (* (/ (* M M) l) -1/8)) (* D D) (* (/ (* M M) l) -1/8) (/ (* M M) l) (* M M) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (* (* -1/8 (* D D)) (/ (* M M) l)) (* -1/8 (* D D)) (sqrt (pow (/ h d) 3)) (pow (/ h d) 3) (/ h d) (sqrt (* h d)) (* h d)) |
| 22.0ms | h | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) (* (* (/ M d) D) (* M D)) (* (/ M d) D) (/ M d) (* M D) (* 2 (* 2 d)) (* 2 d) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) (* (* D D) (* (/ (* M M) l) -1/8)) (* D D) (* (/ (* M M) l) -1/8) (/ (* M M) l) (* M M) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (* (* -1/8 (* D D)) (/ (* M M) l)) (* -1/8 (* D D)) (sqrt (pow (/ h d) 3)) (pow (/ h d) 3) (/ h d) (sqrt (* h d)) (* h d)) |
| 22.0ms | h | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) (* (* (/ M d) D) (* M D)) (* (/ M d) D) (/ M d) (* M D) (* 2 (* 2 d)) (* 2 d) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) (* (* D D) (* (/ (* M M) l) -1/8)) (* D D) (* (/ (* M M) l) -1/8) (/ (* M M) l) (* M M) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (* (* -1/8 (* D D)) (/ (* M M) l)) (* -1/8 (* D D)) (sqrt (pow (/ h d) 3)) (pow (/ h d) 3) (/ h d) (sqrt (* h d)) (* h d)) |
| 19.0ms | d | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) (* (* (/ M d) D) (* M D)) (* (/ M d) D) (/ M d) (* M D) (* 2 (* 2 d)) (* 2 d) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) (* (* D D) (* (/ (* M M) l) -1/8)) (* D D) (* (/ (* M M) l) -1/8) (/ (* M M) l) (* M M) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (* (* -1/8 (* D D)) (/ (* M M) l)) (* -1/8 (* D D)) (sqrt (pow (/ h d) 3)) (pow (/ h d) 3) (/ h d) (sqrt (* h d)) (* h d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 568 | 7784 |
| 1 | 1426 | 7310 |
| 2 | 5677 | 7299 |
| 0 | 8123 | 7077 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
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#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (sqrt (* d h)))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* d (+ (sqrt (/ h d)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 5))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* D D) (* (/ (* M M) l) -1/8)) (sqrt (/ h (pow d 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1 (* (sqrt (* d h)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ (pow h 3) (pow d 5))))) (* (sqrt (/ h d)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (pow (/ h d) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* (sqrt (* d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* 1/2 h) #s(hole binary64 (* 1/2 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (/ 1 (sqrt (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow h 2) (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))) (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ (pow h 3) (pow d 3))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (sqrt (pow (/ h d) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow d 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (* (* D D) (* (/ (* M M) l) -1/8)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) l)))) |
#s(approx (* (/ (* M M) l) -1/8) #s(hole binary64 (* -1/8 (/ (pow M 2) l)))) |
#s(approx (/ (* M M) l) #s(hole binary64 (/ (pow M 2) l))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow d 3))))) (* (sqrt (* d h)) l)) l))) |
#s(approx (* (* -1/8 (* D D)) (/ (* M M) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ (pow h 3) (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (* d h))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* -1/8 (* D D)) #s(hole binary64 (* -1/8 (pow D 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ (pow h 3) (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (* d h))))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (sqrt (/ d h)) (sqrt.f64 (/.f64 d h))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx (/ d h) (/.f64 d h)) |
#s(approx d #s(hole binary64 d)) |
#s(approx d d) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (/ d l) (/.f64 d l)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h #s(literal 1 binary64))) |
#s(approx (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h))) |
#s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M (/.f64 M d)) d)))) |
#s(approx (* (/ (/ D d) 2) M) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* (/ (/ D d) 2) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) |
#s(approx (/ (/ D d) 2) #s(hole binary64 (* 1/2 (/ D d)))) |
#s(approx (/ (/ D d) 2) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (/ D d) (/.f64 D d)) |
#s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) #s(hole binary64 (* 1/4 (/ (* D (* M h)) d)))) |
#s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (/ 1 (sqrt (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (/ 1 (sqrt (* l h))) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (/.f64 (*.f64 M M) l))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (/.f64 (*.f64 M M) l) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h)) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h #s(literal 1 binary64))) |
#s(approx (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))) |
#s(approx (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d))) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) |
#s(approx (* (* (/ M d) D) (* M D)) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (* (* (/ M d) D) (* M D)) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) D) M)) |
#s(approx (* (/ M d) D) #s(hole binary64 (/ (* D M) d))) |
#s(approx (* (/ M d) D) (*.f64 (/.f64 D d) M)) |
#s(approx (/ M d) #s(hole binary64 (/ M d))) |
#s(approx (/ M d) (/.f64 M d)) |
#s(approx (* 2 (* 2 d)) #s(hole binary64 (* 4 d))) |
#s(approx (* 2 (* 2 d)) (*.f64 #s(literal 4 binary64) d)) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* 2 d) (*.f64 #s(literal 2 binary64) d)) |
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#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) (/.f64 M l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) (/.f64 M l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx M #s(hole binary64 M)) |
#s(approx M M) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* M D) (*.f64 M D)) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* M M) (*.f64 M M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ (pow h 3) (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (* d h))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)))) (sqrt.f64 (*.f64 h d)))) |
#s(approx D #s(hole binary64 D)) |
#s(approx D D) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* D D) (*.f64 D D)) |
#s(approx (* -1/8 (* D D)) #s(hole binary64 (* -1/8 (pow D 2)))) |
#s(approx (* -1/8 (* D D)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) (/.f64 M l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l) h #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) (/.f64 M l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (/ (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) h) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) M) (/.f64 M l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d h)))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ (pow h 3) (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (* d h))))))) |
#s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (/.f64 (*.f64 M M) l) (sqrt.f64 (*.f64 h d)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 707 |
| 0 | 147 | 636 |
| 1 | 450 | 622 |
| 0 | 2725 | 622 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
D |
M |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 #s(literal 1/2 binary64) h) |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) |
(*.f64 (/.f64 M d) D) |
(/.f64 M d) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) |
(*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) |
(*.f64 D D) |
(*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
#s(literal -1/8 binary64) |
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 d #s(literal 3 binary64))) |
(pow.f64 d #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) |
(pow.f64 (/.f64 h d) #s(literal 3 binary64)) |
(/.f64 h d) |
(sqrt.f64 (*.f64 h d)) |
(*.f64 h d) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 l)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (+.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 h))) |
(/.f64 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
(neg.f64 (/.f64 (neg.f64 d) h)) |
(neg.f64 (/.f64 d (neg.f64 h))) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
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(/.f64 (/.f64 h (*.f64 d d)) d) |
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(*.f64 (*.f64 d d) d) |
(*.f64 d (*.f64 d d)) |
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(pow.f64 (*.f64 d d) #s(literal 3/2 binary64)) |
(pow.f64 d #s(literal 3 binary64)) |
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#s(literal 3 binary64) |
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(+.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) (/.f64 M l))) (sqrt.f64 (*.f64 h d))) |
(+.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) (/.f64 M l)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) (neg.f64 D)) (neg.f64 D)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) (fabs.f64 D)) (fabs.f64 D)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) (/.f64 M l)) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 #s(literal -1/8 binary64) D)) D) |
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) D) D) |
(*.f64 (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M l)) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 (*.f64 M M) l))) |
(*.f64 (neg.f64 D) (*.f64 (neg.f64 D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)))) |
(*.f64 (fabs.f64 D) (*.f64 (fabs.f64 D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) (*.f64 D D)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) (/.f64 M l))) |
(*.f64 (/.f64 (*.f64 M M) l) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) |
(*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l))) |
(*.f64 M (*.f64 (/.f64 M l) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)))) |
(*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) D)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 D D)) l) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (neg.f64 M) M)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) M)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) M) l) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 D)) (neg.f64 D)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (fabs.f64 D)) (fabs.f64 D)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) D) D) |
(*.f64 (neg.f64 D) (*.f64 (neg.f64 D) #s(literal -1/8 binary64))) |
(*.f64 (fabs.f64 D) (*.f64 (fabs.f64 D) #s(literal -1/8 binary64))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D (*.f64 #s(literal -1/8 binary64) D)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h d) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 h d) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) |
(/.f64 (sqrt.f64 (pow.f64 h #s(literal 3 binary64))) (pow.f64 d #s(literal 3/2 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) (/.f64 h d)) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) (pow.f64 (/.f64 h d) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 h d) (pow.f64 (/.f64 h d) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 h d))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) (pow.f64 (/.f64 h d) #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal 3 binary64)) |
(/.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 d #s(literal 3/2 binary64))) (pow.f64 d #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 d d)) d) |
(/.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) d) (*.f64 d d)) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (/.f64 h d) #s(literal 2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 h (pow.f64 (/.f64 h d) #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 d)) |
(/.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) h) d) |
(/.f64 (neg.f64 (pow.f64 h #s(literal 3 binary64))) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) |
(/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) (pow.f64 (/.f64 h d) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 h) (neg.f64 d)) |
(/.f64 h d) |
(neg.f64 (/.f64 (neg.f64 h) d)) |
(neg.f64 (/.f64 h (neg.f64 d))) |
(*.f64 (pow.f64 (*.f64 h d) #s(literal 1/4 binary64)) (pow.f64 (*.f64 h d) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 h) (sqrt.f64 d)) |
(pow.f64 (*.f64 h d) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 h d)) |
(exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 h)) (*.f64 (sqrt.f64 d) (sqrt.f64 d))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 h d))) (neg.f64 (sqrt.f64 (*.f64 h d)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 h d))) (fabs.f64 (sqrt.f64 (*.f64 h d)))) |
(*.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 h d)))) |
(*.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (*.f64 h d))) |
(*.f64 h d) |
(*.f64 d h) |
(pow.f64 (*.f64 (*.f64 h d) (*.f64 h d)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 h d)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 h d) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (*.f64 h d) (*.f64 h d))) |
Compiled 46 276 to 4 731 computations (89.8% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 017 | 18 | 1 035 |
| Fresh | 16 | 16 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 037 | 36 | 1 073 |
| Status | Accuracy | Program |
|---|---|---|
| 41.5% | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) | |
| 68.6% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -1/2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 66.4% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 55.7% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 67.9% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.5% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 55.2% | (*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (neg.f64 D)) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 #s(literal -4 binary64) d)) l))) | |
| 57.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| ▶ | 70.8% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
| 45.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) | |
| 37.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) | |
| 70.3% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 61.0% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) | |
| ▶ | 44.8% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
| 41.0% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) | |
| 41.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 33.5% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
| 36.0% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) | |
| 22.8% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) | |
| 15.3% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) | |
| 13.7% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 11.9% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
| 17.5% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 D (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) D) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64)))))) (sqrt.f64 (/.f64 d l))) | |
| 39.6% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 25.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| ▶ | 26.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 26.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) | |
| ✓ | 26.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| 15.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 27.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) | |
| ✓ | 26.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 27.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 43.4% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 17.7% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 19.3% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
Compiled 3 052 to 2 070 computations (32.2% saved)
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) |
(*.f64 (/.f64 M d) D) |
(/.f64 M d) |
M |
D |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l))) |
(*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 D D)) |
#s(literal 1/8 binary64) |
(*.f64 D D) |
(/.f64 (*.f64 M (/.f64 M d)) d) |
(*.f64 M (/.f64 M d)) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 #s(literal 1/2 binary64) h) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l)) |
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) |
#s(literal -1/8 binary64) |
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 d #s(literal 3 binary64))) |
(pow.f64 d #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l) |
(*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) |
(*.f64 (neg.f64 D) D) |
(neg.f64 D) |
(*.f64 M M) |
(sqrt.f64 (/.f64 d l)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ M d) D) #s(hole binary64 (/ (* D M) d))) |
#s(approx (/ M d) #s(hole binary64 (/ M d))) |
#s(approx (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) #s(hole binary64 (* 1/4 (/ (* D (* M h)) (* d l))))) |
#s(approx (* 1/2 (* M (/ (/ D d) 2))) #s(hole binary64 (* 1/4 (/ (* D M) d)))) |
#s(approx (* M (/ (/ D d) 2)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ (/ D d) 2) #s(hole binary64 (* 1/2 (/ D d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (/ d (sqrt (* l h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M (/ M d)) d) #s(hole binary64 (/ (pow M 2) (pow d 2)))) |
#s(approx (* M (/ M d)) #s(hole binary64 (/ (pow M 2) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (/ (/ D d) 2) M) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) #s(hole binary64 (* 1/4 (/ (* D (* M h)) d)))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* -1/8 (sqrt (/ h (pow d 3)))) #s(hole binary64 (* -1/8 (sqrt (/ h (pow d 3)))))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (sqrt (/ h (pow d 3))))) |
#s(approx (/ h (pow d 3)) #s(hole binary64 (/ h (pow d 3)))) |
#s(approx (pow d 3) #s(hole binary64 (pow d 3))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* -1/8 (sqrt (/ h (pow d 3)))) #s(hole binary64 (* 1/8 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* 1/2 h) #s(hole binary64 (* 1/2 h))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (/ (* (* (neg D) D) (* M M)) l) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (* (neg D) D) (* M M)) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* 1/8 (* D D)) #s(hole binary64 (* 1/8 (pow D 2)))) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (neg D) D) #s(hole binary64 (* -1 (pow D 2)))) |
#s(approx (neg D) #s(hole binary64 (* -1 D))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | d | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) (* (/ M d) D) (/ M d) M D (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) (* 1/2 (* M (/ (/ D d) 2))) 1/2 (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) (* 1/8 (* D D)) 1/8 (* D D) (/ (* M (/ M d)) d) (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) (* -1/8 (sqrt (/ h (pow d 3)))) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (/ (* (* (neg D) D) (* M M)) l) (* (* (neg D) D) (* M M)) (* (neg D) D) (neg D) (* M M) (sqrt (/ d l))) |
| 29.0ms | D | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) (* (/ M d) D) (/ M d) M D (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) (* 1/2 (* M (/ (/ D d) 2))) 1/2 (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) (* 1/8 (* D D)) 1/8 (* D D) (/ (* M (/ M d)) d) (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) (* -1/8 (sqrt (/ h (pow d 3)))) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (/ (* (* (neg D) D) (* M M)) l) (* (* (neg D) D) (* M M)) (* (neg D) D) (neg D) (* M M) (sqrt (/ d l))) |
| 12.0ms | M | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) (* (/ M d) D) (/ M d) M D (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) (* 1/2 (* M (/ (/ D d) 2))) 1/2 (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) (* 1/8 (* D D)) 1/8 (* D D) (/ (* M (/ M d)) d) (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) (* -1/8 (sqrt (/ h (pow d 3)))) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (/ (* (* (neg D) D) (* M M)) l) (* (* (neg D) D) (* M M)) (* (neg D) D) (neg D) (* M M) (sqrt (/ d l))) |
| 10.0ms | d | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) (* (/ M d) D) (/ M d) M D (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) (* 1/2 (* M (/ (/ D d) 2))) 1/2 (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) (* 1/8 (* D D)) 1/8 (* D D) (/ (* M (/ M d)) d) (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) (* -1/8 (sqrt (/ h (pow d 3)))) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (/ (* (* (neg D) D) (* M M)) l) (* (* (neg D) D) (* M M)) (* (neg D) D) (neg D) (* M M) (sqrt (/ d l))) |
| 10.0ms | h | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) (* (/ M d) D) (/ M d) M D (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) (* 1/2 (* M (/ (/ D d) 2))) 1/2 (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) (* 1/8 (* D D)) 1/8 (* D D) (/ (* M (/ M d)) d) (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) (* -1/8 (sqrt (/ h (pow d 3)))) -1/8 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3 (/ (* (* (neg D) D) (* M M)) l) (* (* (neg D) D) (* M M)) (* (neg D) D) (neg D) (* M M) (sqrt (/ d l))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 6648 |
| 1 | 1155 | 5870 |
| 2 | 4572 | 5843 |
| 0 | 8613 | 5667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* -1/8 (sqrt (/ h (pow d 3)))) #s(hole binary64 (* 1/8 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* 1/2 h) #s(hole binary64 (* 1/2 h))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l))) |
#s(approx (/ (* (* (neg D) D) (* M M)) l) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (* (neg D) D) (* M M)) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* 1/8 (* D D)) #s(hole binary64 (* 1/8 (pow D 2)))) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (neg D) D) #s(hole binary64 (* -1 (pow D 2)))) |
#s(approx (neg D) #s(hole binary64 (* -1 D))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx (/ d h) (/.f64 d h)) |
#s(approx d #s(hole binary64 d)) |
#s(approx d d) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (/ d l) (/.f64 d l)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 D d)) d) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 D d)) d) #s(literal 1/4 binary64)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (* (/ M d) D) #s(hole binary64 (/ (* D M) d))) |
#s(approx (* (/ M d) D) (*.f64 (/.f64 D d) M)) |
#s(approx (/ M d) #s(hole binary64 (/ M d))) |
#s(approx (/ M d) (/.f64 M d)) |
#s(approx (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) #s(hole binary64 (* 1/4 (/ (* D (* M h)) (* d l))))) |
#s(approx (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D d)) (*.f64 M (/.f64 h l)))) |
#s(approx (* 1/2 (* M (/ (/ D d) 2))) #s(hole binary64 (* 1/4 (/ (* D M) d)))) |
#s(approx (* 1/2 (* M (/ (/ D d) 2))) (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/4 binary64))) |
#s(approx (* M (/ (/ D d) 2)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* M (/ (/ D d) 2)) (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) |
#s(approx (/ (/ D d) 2) #s(hole binary64 (* 1/2 (/ D d)))) |
#s(approx (/ (/ D d) 2) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (/ D d) (/.f64 D d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (/ d (sqrt (* l h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ d (sqrt (* l h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 D d)) d) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 (/.f64 M d) d))) |
#s(approx (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* 1/8 (* D D)) (/ (* M (/ M d)) d)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 (/.f64 M d) d))) |
#s(approx (/ (* M (/ M d)) d) #s(hole binary64 (/ (pow M 2) (pow d 2)))) |
#s(approx (/ (* M (/ M d)) d) (*.f64 (/.f64 (/.f64 M d) d) M)) |
#s(approx (* M (/ M d)) #s(hole binary64 (/ (pow M 2) d))) |
#s(approx (* M (/ M d)) (*.f64 (/.f64 M d) M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 D d)) d) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (*.f64 h (/.f64 (*.f64 M M) l)))) |
#s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) |
#s(approx (* (/ (/ D d) 2) M) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* M (/ (/ D d) 2)) (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) #s(hole binary64 (* 1/4 (/ (* D (* M h)) d)))) |
#s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
#s(approx (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))) |
#s(approx (* (* -1/8 (sqrt (/ h (pow d 3)))) (/ (* (* (neg D) D) (* M M)) l)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
#s(approx (* -1/8 (sqrt (/ h (pow d 3)))) #s(hole binary64 (* -1/8 (sqrt (/ h (pow d 3)))))) |
#s(approx (* -1/8 (sqrt (/ h (pow d 3)))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) #s(literal -1/8 binary64))) |
#s(approx (sqrt (/ h (pow d 3))) #s(hole binary64 (sqrt (/ h (pow d 3))))) |
#s(approx (sqrt (/ h (pow d 3))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) |
#s(approx (/ h (pow d 3)) #s(hole binary64 (/ h (pow d 3)))) |
#s(approx (/ h (pow d 3)) (/.f64 h (pow.f64 d #s(literal 3 binary64)))) |
#s(approx (pow d 3) #s(hole binary64 (pow d 3))) |
#s(approx (pow d 3) (pow.f64 d #s(literal 3 binary64))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 M d) d) M)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 D d)) d) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
#s(approx M #s(hole binary64 M)) |
#s(approx M M) |
#s(approx (* (* (neg D) D) (* M M)) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (* (* (neg D) D) (* M M)) (*.f64 (*.f64 (*.f64 D D) M) (neg.f64 M))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* M M) (*.f64 M M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (/.f64 h l) (/.f64 #s(literal 1 binary64) (*.f64 M M))) (*.f64 M M))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (/.f64 h l) (/.f64 #s(literal 1 binary64) (*.f64 M M))) (*.f64 M M))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (/.f64 D d)) d)) (/.f64 h l) (/.f64 #s(literal 1 binary64) (*.f64 M M))) (*.f64 M M))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 M M))) (*.f64 M M))) |
#s(approx D #s(hole binary64 D)) |
#s(approx D D) |
#s(approx (* 1/8 (* D D)) #s(hole binary64 (* 1/8 (pow D 2)))) |
#s(approx (* 1/8 (* D D)) (*.f64 #s(literal 1/8 binary64) (*.f64 D D))) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* D D) (*.f64 D D)) |
#s(approx (* (neg D) D) #s(hole binary64 (* -1 (pow D 2)))) |
#s(approx (* (neg D) D) (*.f64 (neg.f64 D) D)) |
#s(approx (neg D) #s(hole binary64 (* -1 D))) |
#s(approx (neg D) (neg.f64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)) (/.f64 #s(literal 1 binary64) (*.f64 D D))) (*.f64 D D))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)) (/.f64 #s(literal 1 binary64) (*.f64 D D))) (*.f64 D D))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)) (/.f64 #s(literal 1 binary64) (*.f64 D D))) (*.f64 D D))) |
#s(approx (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 D D))) (*.f64 D D))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 732 |
| 0 | 144 | 706 |
| 1 | 423 | 653 |
| 0 | 2782 | 646 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) |
(*.f64 (/.f64 M d) D) |
(/.f64 M d) |
M |
D |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l))) |
(*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 D D)) |
#s(literal 1/8 binary64) |
(*.f64 D D) |
(/.f64 (*.f64 M (/.f64 M d)) d) |
(*.f64 M (/.f64 M d)) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 #s(literal 1/2 binary64) h) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l)) |
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) |
#s(literal -1/8 binary64) |
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 d #s(literal 3 binary64))) |
(pow.f64 d #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l) |
(*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) |
(*.f64 (neg.f64 D) D) |
(neg.f64 D) |
(*.f64 M M) |
(sqrt.f64 (/.f64 d l)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (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 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 h))) |
(/.f64 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
(neg.f64 (/.f64 (neg.f64 d) h)) |
(neg.f64 (/.f64 d (neg.f64 h))) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
(neg.f64 (/.f64 (neg.f64 d) l)) |
(neg.f64 (/.f64 d (neg.f64 l))) |
l |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (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 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 D (/.f64 M d))) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 D (/.f64 M d))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) h))))) (*.f64 #s(literal 2 binary64) (neg.f64 l))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) l)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) h)) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) l (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) h)))) (*.f64 #s(literal 2 binary64) l)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 D (/.f64 M d)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1 binary64))) |
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(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (/.f64 (/.f64 D d) #s(literal 2 binary64))) M) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (/.f64 M d)) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) h) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) h)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h)) |
(*.f64 (/.f64 M d) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 h (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) |
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h)) d) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 D (/.f64 M d)) (*.f64 #s(literal 1/2 binary64) h)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (neg.f64 D) d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) h)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) h)) #s(literal 2 binary64)) |
(/.f64 (*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) h)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 (/.f64 D #s(literal 2 binary64)) M)) d) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 D (/.f64 M d))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) h) |
(*.f64 h #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64))))) (sqrt.f64 l)) |
(/.f64 (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))) (sqrt.f64 d)) (sqrt.f64 l)) |
#s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)) (*.f64 (neg.f64 D) D)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (neg.f64 D) D) (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D))) |
(*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (*.f64 D D))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (neg.f64 D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (neg.f64 D)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) l) |
(*.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 h) #s(literal -1/8 binary64)) (pow.f64 d #s(literal 3/2 binary64))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (pow.f64 d #s(literal 3/2 binary64))) |
#s(literal -1/8 binary64) |
(*.f64 (pow.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (pow.f64 d #s(literal 3/2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) |
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 h (pow.f64 d #s(literal 3/2 binary64))) (pow.f64 d #s(literal 3/2 binary64))) |
(/.f64 (/.f64 h (*.f64 d d)) d) |
(/.f64 (/.f64 h d) (*.f64 d d)) |
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (pow.f64 (neg.f64 d) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 h) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) |
(/.f64 h (pow.f64 d #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 h) (pow.f64 d #s(literal 3 binary64)))) |
(neg.f64 (/.f64 h (pow.f64 (neg.f64 d) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (pow.f64 d #s(literal 3/2 binary64))) (neg.f64 (pow.f64 d #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 d #s(literal 3/2 binary64)) (pow.f64 d #s(literal 3/2 binary64))) |
(*.f64 (*.f64 d d) d) |
(*.f64 d (*.f64 d d)) |
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 d #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 d d) #s(literal 3/2 binary64)) |
(pow.f64 d #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 d) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 d) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 d) #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (*.f64 M M) l) (*.f64 (neg.f64 D) D)) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) (/.f64 M l)) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 (neg.f64 D) D) l)) |
(*.f64 (*.f64 (neg.f64 D) D) (/.f64 (*.f64 M M) l)) |
(*.f64 (neg.f64 D) (/.f64 (*.f64 (*.f64 M M) D) l)) |
(*.f64 (neg.f64 D) (*.f64 D (/.f64 (*.f64 M M) l))) |
(*.f64 D (*.f64 (neg.f64 D) (/.f64 (*.f64 M M) l))) |
(/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) (neg.f64 D)) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) (neg.f64 D)) l) |
(neg.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) l)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (neg.f64 D)) (neg.f64 l))) |
(neg.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 M M) (neg.f64 D)) D) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) (neg.f64 M)) (neg.f64 M)) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) (fabs.f64 M)) (fabs.f64 M)) |
(*.f64 (*.f64 (*.f64 M M) D) (neg.f64 D)) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) D) M) M) |
(*.f64 (neg.f64 M) (*.f64 (neg.f64 M) (*.f64 (neg.f64 D) D))) |
(*.f64 (fabs.f64 M) (*.f64 (fabs.f64 M) (*.f64 (neg.f64 D) D))) |
(*.f64 (*.f64 M M) (*.f64 (neg.f64 D) D)) |
(*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) |
(*.f64 (neg.f64 D) (*.f64 (*.f64 M M) D)) |
(*.f64 D (*.f64 (neg.f64 D) (*.f64 M M))) |
(*.f64 M (*.f64 (*.f64 (neg.f64 D) D) M)) |
(neg.f64 (*.f64 D (*.f64 (*.f64 M M) D))) |
(neg.f64 (*.f64 (*.f64 M M) (*.f64 D D))) |
(*.f64 (neg.f64 (fabs.f64 D)) (fabs.f64 D)) |
(*.f64 (neg.f64 (neg.f64 D)) (neg.f64 D)) |
(*.f64 (fabs.f64 D) (neg.f64 (fabs.f64 D))) |
(*.f64 (neg.f64 D) (neg.f64 (neg.f64 D))) |
(*.f64 (neg.f64 D) D) |
(*.f64 D (neg.f64 D)) |
(neg.f64 (*.f64 D D)) |
(neg.f64 D) |
(*.f64 (neg.f64 (neg.f64 M)) (neg.f64 (neg.f64 M))) |
(*.f64 (neg.f64 (fabs.f64 M)) (neg.f64 (fabs.f64 M))) |
(*.f64 (fabs.f64 (fabs.f64 M)) (fabs.f64 (fabs.f64 M))) |
(*.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 M #s(literal 1 binary64))) |
(*.f64 (pow.f64 M #s(literal 1 binary64)) M) |
(*.f64 (neg.f64 M) (neg.f64 M)) |
(*.f64 (fabs.f64 M) (fabs.f64 M)) |
(*.f64 M M) |
(pow.f64 (neg.f64 M) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 M) #s(literal 2 binary64)) |
(pow.f64 M #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 M) M)) |
(neg.f64 (*.f64 M (neg.f64 M))) |
(fabs.f64 (*.f64 M M)) |
(exp.f64 (*.f64 (log.f64 M) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
Compiled 43 366 to 3 837 computations (91.2% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 869 | 20 | 889 |
| Fresh | 12 | 17 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 884 | 41 | 925 |
| Status | Accuracy | Program |
|---|---|---|
| 41.5% | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) | |
| 42.4% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 40.4% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 40.7% | (*.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 66.4% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 55.7% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.5% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 68.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (neg.f64 D)) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 #s(literal -4 binary64) d)) l))) | |
| 57.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| 36.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 37.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) | |
| 70.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 70.3% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 59.3% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 44.2% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) | |
| 43.7% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) | |
| 42.2% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 37.2% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) | |
| 36.5% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) | |
| ✓ | 33.5% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
| 26.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) | |
| 36.0% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) | |
| 34.9% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) | |
| 28.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) | |
| 22.8% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) | |
| 15.3% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) | |
| 13.7% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) | |
| 12.4% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) | |
| 11.9% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) | |
| 39.6% | (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 43.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 17.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 27.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 25.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 26.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 26.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 26.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) | |
| ✓ | 26.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| 27.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) | |
| ✓ | 26.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 19.3% | #s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
Compiled 6 105 to 1 833 computations (70% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))) d)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
7 calls:
| 73.0ms | d |
| 50.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 40.0ms | l |
| 28.0ms | M |
| 27.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 1 | (*.f64 M D) |
| 76.7% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 83.6% | 3 | d |
| 84.2% | 3 | h |
| 83.0% | 3 | l |
| 72.1% | 1 | M |
| 72.1% | 1 | D |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -1/2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 l #s(literal -1 binary64))) (sqrt.f64 h)) d)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 D (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) D) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64)))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* M D)) (* 2 (* 2 d)))) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
3 calls:
| 40.0ms | d |
| 21.0ms | l |
| 18.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 4 | l |
| 80.8% | 3 | d |
| 84.0% | 4 | h |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -1/2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 l #s(literal -1 binary64))) (sqrt.f64 h)) d)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 D (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) D) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64)))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
1 calls:
| 37.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 4 | h |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -1/2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 l #s(literal -1 binary64))) (sqrt.f64 h)) d)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
1 calls:
| 12.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 3 | h |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
3 calls:
| 11.0ms | l |
| 9.0ms | h |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 4 | l |
| 79.1% | 3 | d |
| 79.8% | 3 | h |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) |
3 calls:
| 11.0ms | l |
| 9.0ms | h |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 3 | d |
| 78.3% | 3 | l |
| 76.5% | 2 | h |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) D) M) (/.f64 D (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
4 calls:
| 11.0ms | d |
| 9.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 8.0ms | l |
| 8.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 2 | h |
| 74.4% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 78.0% | 3 | l |
| 78.0% | 3 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))) |
3 calls:
| 13.0ms | l |
| 8.0ms | d |
| 7.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 2 | h |
| 76.3% | 3 | l |
| 76.5% | 3 | d |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
2 calls:
| 8.0ms | d |
| 7.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 3 | l |
| 76.1% | 3 | d |
Compiled 2 to 10 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 d (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
7 calls:
| 26.0ms | l |
| 9.0ms | d |
| 7.0ms | M |
| 7.0ms | D |
| 7.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 3 | D |
| 62.2% | 3 | M |
| 64.3% | 3 | (*.f64 M D) |
| 74.1% | 4 | l |
| 72.4% | 3 | h |
| 71.5% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 75.9% | 4 | d |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
| Outputs |
|---|
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
2 calls:
| 6.0ms | l |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 4 | l |
| 72.3% | 3 | d |
Compiled 2 to 10 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
4 calls:
| 6.0ms | h |
| 6.0ms | d |
| 6.0ms | l |
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.1% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 70.6% | 5 | d |
| 63.4% | 2 | h |
| 70.4% | 4 | l |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (*.f64 d d)) d)))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
5 calls:
| 32.0ms | l |
| 6.0ms | d |
| 5.0ms | D |
| 5.0ms | h |
| 5.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 2 | D |
| 52.3% | 2 | (*.f64 M D) |
| 59.3% | 3 | h |
| 65.4% | 5 | d |
| 62.1% | 4 | l |
Compiled 7 to 26 computations (-271.4% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
2 calls:
| 5.0ms | M |
| 5.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 2 | M |
| 62.5% | 4 | d |
Compiled 2 to 10 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
3 calls:
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 5.0ms | d |
| 5.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 60.0% | 4 | l |
| 61.2% | 4 | d |
Compiled 37 to 32 computations (13.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
4 calls:
| 5.0ms | d |
| 4.0ms | h |
| 4.0ms | l |
| 4.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 56.1% | 4 | l |
| 51.6% | 4 | h |
| 55.7% | 4 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
1 calls:
| 13.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 3 | l |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (/ (* M M) l)) (sqrt (pow (/ h d) 3))) (sqrt (* h d))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
5 calls:
| 27.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 4.0ms | l |
| 4.0ms | d |
| 4.0ms | M |
| 4.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 2 | M |
| 48.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 44.1% | 2 | (*.f64 M D) |
| 46.9% | 2 | d |
| 49.4% | 2 | l |
Compiled 41 to 43 computations (-4.9% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
1 calls:
| 3.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 2 | l |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ M d) D) (* (* 1/2 (* M (/ (/ D d) 2))) (/ h l))) 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
5 calls:
| 19.0ms | d |
| 2.0ms | l |
| 2.0ms | D |
| 2.0ms | h |
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.0% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 42.8% | 2 | d |
| 42.4% | 2 | h |
| 35.2% | 4 | D |
| 45.7% | 2 | l |
Compiled 39 to 42 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
7 calls:
| 12.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 2.0ms | D |
| 2.0ms | l |
| 2.0ms | d |
| 2.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.6% | 1 | D |
| 26.6% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 26.6% | 1 | h |
| 26.6% | 1 | M |
| 26.6% | 1 | d |
| 26.6% | 1 | (*.f64 M D) |
| 26.6% | 1 | l |
Compiled 43 to 53 computations (-23.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
7 calls:
| 10.0ms | (*.f64 M D) |
| 1.0ms | M |
| 1.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 1.0ms | D |
| 1.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | (*.f64 M D) |
| 26.3% | 1 | D |
| 26.3% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 26.3% | 1 | M |
| 26.3% | 1 | d |
| 26.3% | 1 | h |
| 26.3% | 1 | l |
Compiled 43 to 53 computations (-23.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 87.0ms | 2.421306142547869e+169 | 5.097379633562108e+171 |
| 107.0ms | -1.5288794116736523e-300 | 5.934806224280209e-307 |
| 76.0ms | 272× | 0 | valid |
| 73.0ms | 286× | 0 | invalid |
Compiled 1 433 to 988 computations (31.1% saved)
ival-mult: 41.0ms (41.1% of total)ival-pow: 29.0ms (29.1% of total)ival-div: 19.0ms (19.1% of total)ival-pow2: 6.0ms (6% of total)ival-sub: 3.0ms (3% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.421306142547869e+169 | 5.097379633562108e+171 |
| 2.0ms | -1.5288794116736523e-300 | 5.934806224280209e-307 |
| 60.0ms | -2.082477625205182e+215 | -1.3003135431581004e+212 |
| 29.0ms | 138× | 0 | invalid |
| 22.0ms | 128× | 0 | valid |
Compiled 2 149 to 1 470 computations (31.6% saved)
ival-div: 16.0ms (39.2% of total)ival-mult: 9.0ms (22.1% of total)ival-pow: 8.0ms (19.6% of total)ival-sub: 4.0ms (9.8% of total)ival-pow2: 3.0ms (7.4% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.421306142547869e+169 | 5.097379633562108e+171 |
| 2.0ms | -1.5288794116736523e-300 | 5.934806224280209e-307 |
| 2.0ms | -2.082477625205182e+215 | -1.3003135431581004e+212 |
| 3.0ms | 18× | 0 | invalid |
| 3.0ms | 16× | 0 | valid |
Compiled 2 198 to 1 498 computations (31.8% saved)
ival-div: 1.0ms (25.2% of total)ival-mult: 1.0ms (25.2% of total)ival-pow: 1.0ms (25.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-pow2: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.5288794116736523e-300 | 5.934806224280209e-307 |
| 2.0ms | -2.082477625205182e+215 | -1.3003135431581004e+212 |
Compiled 1 624 to 1 092 computations (32.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.5288794116736523e-300 | 5.934806224280209e-307 |
| 2.0ms | -2.082477625205182e+215 | -1.3003135431581004e+212 |
Compiled 1 624 to 1 146 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 80.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 49.0ms | -1.938526829045128e-116 | -2.2489013657468097e-118 |
| 69.0ms | 272× | 0 | invalid |
| 41.0ms | 224× | 0 | valid |
Compiled 1 536 to 1 017 computations (33.8% saved)
ival-div: 18.0ms (31.7% of total)ival-mult: 18.0ms (31.7% of total)ival-pow: 10.0ms (17.6% of total)ival-pow2: 7.0ms (12.3% of total)ival-sub: 2.0ms (3.5% of total)exact: 1.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 2.0ms | -1.938526829045128e-116 | -2.2489013657468097e-118 |
Compiled 1 536 to 1 038 computations (32.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 1.0ms | -1.938526829045128e-116 | -2.2489013657468097e-118 |
Compiled 1 522 to 1 024 computations (32.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 1.0ms | -1.938526829045128e-116 | -2.2489013657468097e-118 |
Compiled 1 592 to 1 066 computations (33% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 1.0ms | -1.938526829045128e-116 | -2.2489013657468097e-118 |
| 94.0ms | -2.1253554010613686e+115 | -3.0554157764443534e+109 |
| 50.0ms | 144× | 0 | valid |
| 33.0ms | 171× | 0 | invalid |
Compiled 2 281 to 1 550 computations (32% saved)
ival-div: 27.0ms (38.1% of total)ival-mult: 22.0ms (31% of total)ival-pow: 15.0ms (21.2% of total)ival-pow2: 3.0ms (4.2% of total)ival-sub: 2.0ms (2.8% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 76.0ms | 2.8979454854752813e+62 | 8.176065416118437e+63 |
| 74.0ms | -4.591499713319706e-299 | -1.0294363311879937e-302 |
| 92.0ms | -2.082351662913314e+155 | -2.7330766755143465e+136 |
| 88.0ms | 400× | 0 | valid |
| 65.0ms | 382× | 0 | invalid |
Compiled 2 767 to 1 874 computations (32.3% saved)
ival-div: 51.0ms (43% of total)ival-mult: 29.0ms (24.4% of total)ival-pow: 23.0ms (19.4% of total)ival-pow2: 9.0ms (7.6% of total)ival-sub: 4.0ms (3.4% of total)ival-true: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 51.0ms | 3.7394212573317723e+56 | 1.0552962283682093e+58 |
| 65.0ms | -2.4098017375998024e-266 | -2.0062623403396348e-275 |
| 2.0ms | -2.082351662913314e+155 | -2.7330766755143465e+136 |
| 44.0ms | 256× | 0 | valid |
| 42.0ms | 255× | 0 | invalid |
Compiled 2 893 to 1 909 computations (34% saved)
ival-div: 19.0ms (29.8% of total)ival-mult: 18.0ms (28.2% of total)ival-pow: 18.0ms (28.2% of total)ival-pow2: 5.0ms (7.8% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.3647746058603456e+196 | 1.2063480402519505e+198 |
| 48.0ms | 7.335263414728156e-151 | 5.753562653364704e-148 |
| 1.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 92.0ms | -1.5816303592067334e+44 | -3.1258281189322886e+33 |
| 85.0ms | 400× | 0 | valid |
| 69.0ms | 408× | 0 | invalid |
Compiled 3 452 to 2 278 computations (34% saved)
ival-div: 42.0ms (33.7% of total)ival-pow: 36.0ms (28.9% of total)ival-mult: 32.0ms (25.7% of total)ival-pow2: 9.0ms (7.2% of total)ival-sub: 4.0ms (3.2% of total)ival-true: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.3647746058603456e+196 | 1.2063480402519505e+198 |
| 1.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 2.0ms | -1.5816303592067334e+44 | -3.1258281189322886e+33 |
| 16.0ms | 64× | 0 | valid |
| 6.0ms | 43× | 0 | invalid |
Compiled 2 434 to 1 656 computations (32% saved)
ival-pow: 9.0ms (50.3% of total)ival-div: 4.0ms (22.4% of total)ival-mult: 4.0ms (22.4% of total)ival-sub: 1.0ms (5.6% of total)ival-pow2: 1.0ms (5.6% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.3647746058603456e+196 | 1.2063480402519505e+198 |
| 1.0ms | -1.4235497011142086e-297 | -4.580632011190449e-299 |
| 2.0ms | -1.5816303592067334e+44 | -3.1258281189322886e+33 |
| 19.0ms | 96× | 0 | valid |
| 11.0ms | 85× | 0 | invalid |
Compiled 2 434 to 1 656 computations (32% saved)
ival-div: 6.0ms (30.2% of total)ival-mult: 6.0ms (30.2% of total)ival-pow: 4.0ms (20.1% of total)ival-pow2: 2.0ms (10.1% of total)ival-sub: 1.0ms (5% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 3.7394212573317723e+56 | 1.0552962283682093e+58 |
| 2.0ms | -4.591499713319706e-299 | -1.0294363311879937e-302 |
| 59.0ms | -7.227333581554035e-102 | -1.41539526779948e-105 |
| 35.0ms | 208× | 0 | valid |
| 32.0ms | 203× | 0 | invalid |
Compiled 2 367 to 1 611 computations (31.9% saved)
ival-div: 15.0ms (28.8% of total)ival-mult: 14.0ms (26.9% of total)ival-pow: 14.0ms (26.9% of total)ival-sub: 4.0ms (7.7% of total)ival-pow2: 4.0ms (7.7% of total)exact: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.7394212573317723e+56 | 1.0552962283682093e+58 |
| 51.0ms | -1.0294363311879937e-302 | 1.0876365442034561e-306 |
| 25.0ms | 144× | 0 | valid |
| 16.0ms | 107× | 0 | invalid |
Compiled 1 686 to 1 102 computations (34.6% saved)
ival-div: 9.0ms (28.5% of total)ival-mult: 9.0ms (28.5% of total)ival-pow: 8.0ms (25.3% of total)ival-pow2: 4.0ms (12.7% of total)ival-sub: 1.0ms (3.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.088007766452229e-171 | 6.994099238753688e-170 |
| 17.0ms | 112× | 0 | valid |
| 14.0ms | 99× | 0 | invalid |
Compiled 668 to 450 computations (32.6% saved)
ival-div: 7.0ms (29.4% of total)ival-mult: 7.0ms (29.4% of total)ival-pow: 6.0ms (25.2% of total)ival-pow2: 2.0ms (8.4% of total)ival-sub: 1.0ms (4.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.088007766452229e-171 | 6.994099238753688e-170 |
Compiled 654 to 436 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.088007766452229e-171 | 6.994099238753688e-170 |
| 7.0ms | 48× | 0 | valid |
| 5.0ms | 35× | 0 | invalid |
Compiled 661 to 443 computations (33% saved)
ival-div: 3.0ms (31.8% of total)ival-mult: 3.0ms (31.8% of total)ival-pow: 2.0ms (21.2% of total)ival-pow2: 1.0ms (10.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 3033 |
| 1 | 392 | 3033 |
| 2 | 768 | 3033 |
| 3 | 3918 | 3033 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 h #s(literal 149999999999999998458954181425569371589558156343203557466357561216400958082166449469956383685343752576808619544269420527600818488570503702588095533277165509145188378869760 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 h #s(literal 149999999999999998458954181425569371589558156343203557466357561216400958082166449469956383685343752576808619544269420527600818488570503702588095533277165509145188378869760 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 h #s(literal 124999999999999994246525841207108776466623464217387588728842694149536339160618226651042309713270801546715750231256707876323396011646736134238785340415447942143107313696768 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64))))))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))))) |
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(if (<=.f64 l #s(literal -46000000000000000188599936922929401729571961987000058336757051679339923748046657246212478046252769333083256340648262341435406519127012016128 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 l #s(literal -6392925991478399/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (if (<=.f64 l #s(literal 1949999999999999841650420423224919886971061392141782614016 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))))) |
(if (<=.f64 d #s(literal -469999999999999991308352763391218024448 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 7371020360979573/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (if (<=.f64 d #s(literal 820000000000000059525873473561111832675699886405137393654969452845513561243272565604495280821927412296830961529396399966719035437764244811079756155837276616774166074881749339532096677771013638848512 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 D (/.f64 D d))) #s(literal 1/8 binary64))) l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))) |
(if (<=.f64 d #s(literal -469999999999999991308352763391218024448 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 570000000000000021945863531008318029192076510581548164018950068671932968201635629734701846637721149797949487944972412090670689770890962295022049852739061572287408902054849469778484123497172199014400 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))) |
(if (<=.f64 d #s(literal -469999999999999991308352763391218024448 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 126000000000000000483279760663951397492556003716804172033192928609125287712301213214352185664224521113539308969832012895624166569038224104799451993329923812940506352965847054307684065824101724323840 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))) |
(if (<=.f64 l #s(literal -8069530869021589/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 l #s(literal -8107084883601233/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) l))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 l #s(literal 749999999999999992703876120785120969834346383151554625536 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))))) |
(if (<=.f64 l #s(literal 20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 l #s(literal 749999999999999992703876120785120969834346383151554625536 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)))) |
(if (<=.f64 l #s(literal 142769892469147/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))) |
(if (<=.f64 l #s(literal 142769892469147/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 l #s(literal 6091515412016939/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
(if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 h #s(literal 149999999999999998458954181425569371589558156343203557466357561216400958082166449469956383685343752576808619544269420527600818488570503702588095533277165509145188378869760 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 h #s(literal 149999999999999998458954181425569371589558156343203557466357561216400958082166449469956383685343752576808619544269420527600818488570503702588095533277165509145188378869760 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 h #s(literal 124999999999999994246525841207108776466623464217387588728842694149536339160618226651042309713270801546715750231256707876323396011646736134238785340415447942143107313696768 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64))))))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))))) |
(if (<=.f64 h #s(literal -151999999999999998816462137339160947774967055234996401116587229490962317200883373403501584486389712291108804723336799151905216034394677865164976374044331628472145771849421359472262959092132516362886514000832738885632 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 4 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) l))))) |
(if (<=.f64 d #s(literal -1362822608054263/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) M) d)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal -541942639517149/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M (/.f64 M d)) d))) (/.f64 h l)))) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) (* 1/2 h)) (*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)))) l))))) |
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(if (<=.f64 l #s(literal -8069530869021589/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 l #s(literal -8107084883601233/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 (*.f64 d d) d)))) (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (neg.f64 l)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 l #s(literal 749999999999999992703876120785120969834346383151554625536 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))))) |
(if (<=.f64 l #s(literal 20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 l #s(literal 749999999999999992703876120785120969834346383151554625536 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))) (/.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)))) |
(if (<=.f64 l #s(literal 142769892469147/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))) |
(if (<=.f64 l #s(literal 142769892469147/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 l #s(literal 6091515412016939/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 1× | fuel |
Compiled 3 407 to 290 computations (91.5% saved)
(sort M D)
(abs M)
(abs D)
Compiled 7 616 to 966 computations (87.3% saved)
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