
Time bar (total: 9.3s)
| 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)
| 2.0s | 13 198× | 0 | invalid |
| 1.4s | 8 256× | 0 | valid |
ival-mult!: 750.0ms (30.7% of total)ival-pow: 695.0ms (28.4% of total)ival-div!: 579.0ms (23.7% of total)ival-pow2: 352.0ms (14.4% of total)ival-sub!: 63.0ms (2.6% of total)adjust: 5.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 0 | - | 1 | (8.762995184826201e-46 2.0102003736975782e-276 9.962889884472247e+264 4.148010727407903e-227 -2.6464168118316964e+175) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 54 | 0 | - | 1 | (2.7902410755261777e-292 2.0268591938055022e+31 7.873134226049458e-238 5.704595919753347e-145 -5856.215799644463) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 44 | 0 | - | 2 | (1.6958923030019983e+153 4.0309038309766526e-134 5.805457010223197e+187 3.2162861534779546e-41 1.152486424188992e+228) | (*.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)) |
| 19 | 0 | - | 1 | (1.6322147670651853e-300 398179.7392709837 1.1394200864073093e-51 4.419036059731251e-49 -1.1637319080086064e-265) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 18 | 0 | - | 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 (/.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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 d l) | overflow | 38 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 33 | 0 |
| ↳ | (/.f64 d h) | overflow | 33 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 30 | 0 |
| ↳ | (/.f64 d l) | underflow | 30 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 20 | 0 |
| ↳ | (/.f64 d h) | underflow | 20 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 12 | 0 |
| ↳ | (*.f64 M D) | overflow | 38 | |
*.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 | 10 | 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)) | n*o | 9 | 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 | 8 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 82 | |
| ↳ | (*.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 | 82 | |
| ↳ | (*.f64 M D) | overflow | 38 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 44 | |
| ↳ | (/.f64 h l) | underflow | 36 | |
*.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 | 6 | 0 |
| ↳ | (/.f64 d h) | underflow | 20 | |
| ↳ | (/.f64 d l) | underflow | 30 | |
| ↳ | (*.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 | 82 | |
| ↳ | (*.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 | 82 | |
| ↳ | (/.f64 h l) | overflow | 28 | |
| ↳ | (-.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 | 79 | |
| ↳ | (*.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 | 79 | |
| ↳ | (*.f64 M D) | overflow | 38 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 44 | |
*.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 | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 77 | 5 |
| - | 43 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 77 | 0 | 5 |
| - | 43 | 0 | 131 |
| number | freq |
|---|---|
| 0 | 136 |
| 1 | 79 |
| 2 | 34 |
| 3 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 113.0ms | 512× | 0 | valid |
Compiled 347 to 70 computations (79.8% saved)
ival-mult!: 26.0ms (30.8% of total)ival-pow2: 23.0ms (27.3% of total)ival-pow: 21.0ms (24.9% of total)ival-div!: 13.0ms (15.4% of total)ival-sub!: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 588 |
| 1 | 546 | 580 |
| 2 | 2128 | 575 |
| 3 | 6640 | 575 |
| 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 M)
(abs D)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (*.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)))) |
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 | |
|---|---|---|---|---|
| 10.0ms | 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)) |
| 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)) |
| 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 | 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)) |
| 6.0ms | M | @ | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1681 |
| 0 | 254 | 1533 |
| 0 | 981 | 1518 |
| 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) |
#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 |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.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 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
l |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 D M) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(+.f64 d d) |
(/.f64 (neg.f64 h) (neg.f64 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)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d)) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h))) |
#s(approx (/ d h) (/.f64 d h)) |
#s(approx d d) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) (/.f64 d l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l))) (*.f64 d d))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))) |
#s(approx (/ (* M D) (* 2 d)) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
#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)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) d)) |
#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))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #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)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))) |
#s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (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)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx h h) |
#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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) 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 -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) 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)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d)))) h))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) 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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) 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 l) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d 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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))) |
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (* M D) (*.f64 D 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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
Compiled 4 853 to 488 computations (89.9% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 20 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 99 | 20 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| 59.1% | (*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 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)))) | |
| 69.4% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| 45.4% | (*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))) | |
| 57.8% | (*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) | |
| 22.5% | (*.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 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) | |
| 41.6% | (*.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 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))) | |
| 41.9% | (*.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))) #s(literal 1 binary64))) | |
| ▶ | 39.9% | (*.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)))) |
| 69.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 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)))) | |
| 41.8% | (*.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)))) | |
| ▶ | 69.4% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
| 33.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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)))) | |
| 41.9% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) 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)))) | |
| ▶ | 46.4% | #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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
| 18.5% | #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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 31.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) | |
| 16.2% | #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 -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 19.7% | #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 -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
| 24.3% | #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 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| ▶ | 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
Compiled 1 892 to 1 212 computations (35.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 h l) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(/.f64 D d) |
D |
#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 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 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)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 l #s(literal 3 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) |
(pow.f64 (/.f64 h l) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(sqrt.f64 (/.f64 h l)) |
(*.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)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(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))) |
(*.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) |
| Outputs |
|---|
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) 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 (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d))) |
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ (sqrt d) (sqrt l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (sqrt d) #s(hole binary64 (sqrt 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 (* (* (/ 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (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 (* (* (/ 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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) #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 (/ (sqrt d) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))) |
#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 (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (pow l 3)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3))))) |
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3)))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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)) (/ (sqrt d) (sqrt l))) (- 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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 (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) #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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 l) #s(hole binary64 (sqrt 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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)) (/ (sqrt d) (sqrt l))) (- 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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (pow (* D M) 2) -1) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 | |
|---|---|---|---|---|
| 658.0ms | M | @ | 0 | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt 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) (* 2 d)) |
| 32.0ms | M | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt 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) (* 2 d)) |
| 14.0ms | h | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt 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) (* 2 d)) |
| 14.0ms | d | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt 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) (* 2 d)) |
| 13.0ms | D | @ | 0 | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt 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) (* 2 d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 558 | 7052 |
| 0 | 646 | 6351 |
| 0 | 2229 | 6285 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 h l) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(/.f64 D d) |
D |
#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 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 l h) |
#s(literal -1 binary64) |
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(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 l #s(literal 3 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
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(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) |
(pow.f64 (/.f64 h l) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(sqrt.f64 (/.f64 h l)) |
(*.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)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(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))) |
(*.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) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) 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 (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d))) |
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ (sqrt d) (sqrt l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (sqrt d) #s(hole binary64 (sqrt 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 (* (* (/ 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (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 (* (* (/ 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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) #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 (/ (sqrt d) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))) |
#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 (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (pow l 3)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3))))) |
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3)))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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)) (/ (sqrt d) (sqrt l))) (- 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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 (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) (- 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)) (/ (sqrt d) (sqrt l))) #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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 l) #s(hole binary64 (sqrt 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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)) (/ (sqrt d) (sqrt l))) (- 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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (pow (* D M) 2) -1) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 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 |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
d |
h |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 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 d) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
l |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 h l))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) l) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) h) l) |
(/.f64 (neg.f64 h) (neg.f64 l)) |
(/.f64 h l) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.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 M)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 M) #s(literal -2 binary64)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
D |
#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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64))) |
(*.f64 l h) |
(*.f64 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)))) (*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) d) |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) |
(neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 D D)) (*.f64 M M)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) (*.f64 D D)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64))) |
(*.f64 (*.f64 D M) (*.f64 D M)) |
(*.f64 (*.f64 M M) (*.f64 D D)) |
(*.f64 (*.f64 D D) (*.f64 M M)) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 D M)) #s(literal 2 binary64))) |
(*.f64 D M) |
(*.f64 M D) |
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 (neg.f64 h) (neg.f64 (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 l #s(literal 3 binary64))) |
(*.f64 (pow.f64 l #s(literal 3/2 binary64)) (pow.f64 l #s(literal 3/2 binary64))) |
(*.f64 (*.f64 l l) l) |
(*.f64 l (*.f64 l l)) |
(pow.f64 l #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 l) #s(literal 3 binary64))) |
#s(literal 3 binary64) |
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(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
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(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 h l))) d)) |
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(+.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) |
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(*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) |
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(pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) |
(/.f64 (sqrt.f64 (pow.f64 h #s(literal 3 binary64))) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))) |
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(*.f64 (*.f64 (/.f64 h l) (/.f64 h l)) (/.f64 h l)) |
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(*.f64 (/.f64 h l) (*.f64 (/.f64 h l) (/.f64 h l))) |
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(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) |
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(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
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#s(literal 1/2 binary64) |
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(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
(pow.f64 d #s(literal 1/2 binary64)) |
(sqrt.f64 d) |
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(sqrt.f64 l) |
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(pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) |
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(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
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(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 D M) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(+.f64 d d) |
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#s(approx (/ d h) (/.f64 d h)) |
#s(approx d d) |
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#s(approx (sqrt (/ d l)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) (/.f64 d l)) |
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#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l))) (*.f64 d d))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))) |
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#s(approx (/ D d) (/.f64 D d)) |
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#s(approx (sqrt (/ h (pow l 3))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d))) h))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d)))) (*.f64 h h))) |
#s(approx (sqrt (pow (/ h l) 3)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ h l)) d) (neg.f64 (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (sqrt (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.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 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d)))) h))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) 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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l))) |
#s(approx l l) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.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 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (pow l 3) (pow.f64 l #s(literal 3 binary64))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (sqrt l) (sqrt.f64 l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.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)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l 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)))) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 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)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l 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)))) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) (neg.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ h l)) d) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l)))) |
#s(approx (sqrt l) (neg.f64 (*.f64 (sqrt.f64 l) #s(literal -1 binary64)))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (* (pow (* D M) 2) -1) (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx (* M D) (*.f64 D M)) |
#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 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.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)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
Compiled 19 157 to 1 487 computations (92.2% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 28 | 384 |
| Fresh | 9 | 6 | 15 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 370 | 34 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 59.1% | (*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 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)))) | |
| 39.9% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (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)))) | |
| 42.2% | (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) | |
| ▶ | 69.4% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
| 45.4% | (*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))) | |
| 38.9% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) | |
| 69.3% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) | |
| ▶ | 69.4% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
| 57.8% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l)))) | |
| 22.6% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) | |
| 15.5% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))) | |
| 42.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h))) | |
| 15.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))))) | |
| 10.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) | |
| 41.9% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) | |
| 33.6% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) | |
| 18.5% | #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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 46.4% | #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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| ▶ | 47.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
| 42.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) | |
| 34.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) | |
| 40.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 13.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) | |
| 31.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) | |
| 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) | |
| 31.4% | #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) (sqrt.f64 (*.f64 l h))) d)) | |
| 16.2% | #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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) | |
| 17.4% | #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 19.7% | #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 24.3% | #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 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
| 31.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| ▶ | 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 30.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 24.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
Compiled 3 418 to 2 212 computations (35.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 h l) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(/.f64 D d) |
D |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
#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) |
#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) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
(/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d) |
(fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) |
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
#s(literal -1/8 binary64) |
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d)) |
(sqrt.f64 (/.f64 h l)) |
(*.f64 d d) |
| Outputs |
|---|
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ D d) (/ M 2)) #s(hole binary64 (* 1/2 (/ (* D M) 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 (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* -1 d) #s(hole binary64 (* -1 d))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))))) |
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (pow d 2) (sqrt (/ h l))))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (sqrt (/ h l))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (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 (* (* (/ 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))) |
#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 (/ 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 (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))) |
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l)))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (/ 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 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3)))))))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))) |
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* (pow d 2) (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow M 2)) (sqrt (/ h l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow D 2)) (sqrt (/ h l))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | h | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 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)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d)) |
| 9.0ms | d | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 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)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d)) |
| 9.0ms | d | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 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)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d)) |
| 9.0ms | M | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 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)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d)) |
| 9.0ms | l | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 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)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 600 | 8659 |
| 0 | 673 | 7537 |
| 0 | 2499 | 7418 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
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d |
h |
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#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))))) |
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (pow d 2) (sqrt (/ h l))))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (sqrt (/ h l))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (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 (* (* (/ 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))) |
#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 (/ 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 (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))) |
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l)))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (/ 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 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -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 (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3)))))))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))) |
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* (pow d 2) (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow M 2)) (sqrt (/ h l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow D 2)) (sqrt (/ h l))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
d |
h |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
l |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))) (/.f64 h l))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))) l) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) h) l) |
(/.f64 (neg.f64 h) (neg.f64 l)) |
(/.f64 h l) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) (neg.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) |
(*.f64 (fabs.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) (fabs.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) |
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 M D) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
D |
(/.f64 (neg.f64 M) #s(literal -2 binary64)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
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#s(approx l l) |
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#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) |
#s(approx (pow (/ h l) 3/2) (neg.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ h l)) (* d d)) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l)))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
#s(approx (* D M) (*.f64 M D)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) |
#s(approx D D) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (*.f64 d d) (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) |
Compiled 23 643 to 1 770 computations (92.5% saved)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 21 | 417 |
| Fresh | 18 | 11 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 418 | 33 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| 42.2% | (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) | |
| 59.0% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| ▶ | 33.6% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
| 69.4% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| 45.4% | (*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))) | |
| 38.9% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) | |
| 69.3% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) | |
| ▶ | 69.4% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
| 68.3% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) | |
| 57.8% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l)))) | |
| ▶ | 22.6% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))) |
| 15.5% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))) | |
| 42.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h))) | |
| 15.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))))) | |
| 10.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) | |
| 41.9% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) | |
| 18.5% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| ▶ | 31.5% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
| 16.2% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 24.3% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) | |
| 47.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) | |
| 38.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) | |
| 28.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) | |
| 13.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) | |
| 40.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 13.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) | |
| ▶ | 31.4% | #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) (sqrt.f64 (*.f64 l h))) d)) |
| 17.4% | #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 19.7% | #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) | |
| ✓ | 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 30.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 24.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
Compiled 3 298 to 2 130 computations (35.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))) |
(/.f64 h l) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(/.f64 D d) |
D |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 #s(literal 1/2 binary64) M) |
#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) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) |
#s(literal -1/8 binary64) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) |
(pow.f64 (*.f64 M D) #s(literal 2 binary64)) |
(*.f64 M D) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(neg.f64 d) |
| Outputs |
|---|
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ D d) (/ M 2)) #s(hole binary64 (* 1/2 (/ (* D M) 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 (* (/ 1 (sqrt (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* l h) -1/2) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (neg d) (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (neg d) #s(hole binary64 (* -1 d))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (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 (* (* (/ 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))) |
#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 (/ 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* l h) -1/2) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))) |
#s(approx (* -1/8 (* (pow (* M D) 2) h)) #s(hole binary64 (* -1/8 (* (pow D 2) (* (pow M 2) h))))) |
#s(approx (* (pow (* M D) 2) h) #s(hole binary64 (* (pow D 2) (* (pow M 2) h)))) |
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))))) |
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#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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
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#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 (* l h) -1/2) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (* l h) -1/2) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (neg d) (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2)))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* 1/2 M) #s(hole binary64 (* 1/2 M))) |
#s(approx (pow (* M D) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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)) |
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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)))))))) |
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 | |
|---|---|---|---|---|
| 41.0ms | D | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d)) |
| 10.0ms | h | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d)) |
| 10.0ms | l | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d)) |
| 8.0ms | d | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d)) |
| 6.0ms | d | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 7173 |
| 0 | 539 | 6369 |
| 0 | 1834 | 6297 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* 1/2 M) #s(hole binary64 (* 1/2 M))) |
#s(approx (pow (* M D) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #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 h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
d |
h |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.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 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
l |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l) |
(/.f64 (neg.f64 h) (neg.f64 l)) |
(/.f64 h l) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) |
(*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))) |
(*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 M D) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
D |
(/.f64 (neg.f64 M) #s(literal -2 binary64)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) |
(*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) |
(/.f64 (*.f64 D #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) d) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 #s(literal 1/2 binary64) M) |
(*.f64 M #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d) |
(*.f64 d (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))) |
(pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 l) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 h) (sqrt.f64 l)) |
(pow.f64 (*.f64 l h) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 h l) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l))) |
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (*.f64 d d)) l) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64))) (neg.f64 (*.f64 (*.f64 d d) l))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) h) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) |
(*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) |
(*.f64 h (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 1 binary64)) (pow.f64 (*.f64 M D) #s(literal 1 binary64))) |
(*.f64 (*.f64 M M) (*.f64 D D)) |
(*.f64 (*.f64 D D) (*.f64 M M)) |
(*.f64 (*.f64 M D) (*.f64 M D)) |
(pow.f64 (*.f64 M D) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 M D)) #s(literal 2 binary64))) |
(*.f64 M D) |
(*.f64 D M) |
(*.f64 (*.f64 d d) l) |
(*.f64 l (*.f64 d d)) |
(*.f64 d (*.f64 l d)) |
(*.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64))) |
(*.f64 (fabs.f64 d) (fabs.f64 d)) |
(*.f64 (neg.f64 d) (neg.f64 d)) |
(*.f64 d d) |
(pow.f64 d #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) |
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64))) #s(literal -1 binary64))))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx h h) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 d l)))) |
#s(approx (/ h l) (/.f64 h l)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (/ 1 (sqrt (* l h))) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))) |
#s(approx (sqrt (* l h)) (sqrt.f64 (*.f64 l h))) |
#s(approx (* l h) (*.f64 l h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (pow (* l h) -1/2) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 d l)))) |
#s(approx (* -1/8 (* (pow (* M D) 2) h)) (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64))) |
#s(approx (* (pow (* M D) 2) h) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) h))) |
#s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l))))) h))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) h))) |
#s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) h))) |
#s(approx (* (pow (* l h) -1/2) d) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (pow (* l h) -1/2) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) h))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l))))) h))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (neg d) (pow (* l h) -1/2)) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l))) |
#s(approx l l) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) |
#s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (* 1/2 M) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx (pow (* M D) 2) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
#s(approx (* M D) (*.f64 M D)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#s(approx D D) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
Compiled 14 830 to 1 303 computations (91.2% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 17 | 351 |
| Fresh | 9 | 18 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 347 | 37 | 384 |
| Status | Accuracy | Program |
|---|---|---|
| 42.2% | (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) | |
| 35.8% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) | |
| 59.0% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 41.2% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d))) | |
| 69.4% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| 33.6% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) | |
| 38.9% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) | |
| 12.0% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))) | |
| 69.3% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) | |
| 70.3% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) | |
| 69.4% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) | |
| 22.6% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l))))) | |
| 15.5% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) | |
| 42.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h))) | |
| 15.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))))) | |
| 10.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) | |
| 41.9% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) | |
| 58.2% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) | |
| 20.6% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)))) | |
| 18.5% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 29.8% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d)) | |
| 16.2% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 24.3% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) | |
| 24.3% | #s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) | |
| 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h)))) | |
| 47.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) | |
| 38.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) | |
| 28.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) | |
| 13.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) | |
| 40.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 13.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) | |
| ✓ | 31.4% | #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) (sqrt.f64 (*.f64 l h))) d)) |
| 17.4% | #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 19.7% | #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) | |
| ✓ | 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 24.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
Compiled 5 913 to 1 705 computations (71.2% 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
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#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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
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#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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) 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))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) 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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 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 (/.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 (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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d 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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) 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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 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 #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 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 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)))) |
#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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
7 calls:
| 50.0ms | D |
| 48.0ms | h |
| 25.0ms | l |
| 24.0ms | d |
| 24.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 1 | (*.f64 M D) |
| 78.0% | 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)))) |
| 78.2% | 3 | d |
| 80.2% | 4 | h |
| 79.5% | 3 | l |
| 70.3% | 1 | M |
| 70.3% | 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (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)))) |
#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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 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)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) 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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) 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 -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
2 calls:
| 19.0ms | l |
| 15.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | h |
| 77.2% | 3 | l |
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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
4 calls:
| 47.0ms | h |
| 11.0ms | d |
| 11.0ms | l |
| 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.6% | 2 | l |
| 75.9% | 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)))) |
| 77.0% | 3 | d |
| 75.0% | 2 | h |
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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 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 -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
1 calls:
| 10.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 3 | d |
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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
2 calls:
| 24.0ms | h |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 2 | h |
| 74.6% | 2 | 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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) d) (sqrt.f64 (pow.f64 (*.f64 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)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
4 calls:
| 13.0ms | l |
| 8.0ms | d |
| 8.0ms | h |
| 7.0ms | (*.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 |
|---|---|---|
| 75.4% | 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)))) |
| 70.3% | 1 | d |
| 70.3% | 1 | l |
| 72.1% | 2 | h |
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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
7 calls:
| 8.0ms | l |
| 8.0ms | M |
| 7.0ms | (*.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)))) |
| 6.0ms | h |
| 6.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 2 | M |
| 62.9% | 2 | (*.f64 M D) |
| 58.2% | 1 | d |
| 60.5% | 2 | l |
| 61.9% | 2 | D |
| 58.2% | 1 | h |
| 71.2% | 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)))) |
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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d 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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
1 calls:
| 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 |
|---|---|---|
| 67.7% | 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)))) |
Compiled 35 to 22 computations (37.1% 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
7 calls:
| 8.0ms | (*.f64 M D) |
| 6.0ms | d |
| 4.0ms | M |
| 4.0ms | h |
| 4.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.3% | 2 | d |
| 47.8% | 3 | h |
| 45.5% | 2 | l |
| 44.0% | 2 | D |
| 47.5% | 2 | M |
| 48.8% | 2 | (*.f64 M D) |
| 55.4% | 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)))) |
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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
1 calls:
| 3.0ms | (*.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 |
|---|---|---|
| 53.3% | 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)))) |
Compiled 35 to 22 computations (37.1% 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
2 calls:
| 2.0ms | (*.f64 M D) |
| 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 |
|---|---|---|
| 45.8% | 2 | (*.f64 M D) |
| 49.4% | 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)))) |
Compiled 38 to 28 computations (26.3% 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) |
6 calls:
| 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)))) |
| 2.0ms | M |
| 2.0ms | h |
| 2.0ms | l |
| 2.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 2 | l |
| 42.8% | 2 | (*.f64 M D) |
| 45.3% | 3 | h |
| 44.2% | 2 | d |
| 40.2% | 1 | M |
| 44.0% | 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)))) |
Compiled 42 to 48 computations (-14.3% 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 (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 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) l) h)) 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 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h)))) |
7 calls:
| 3.0ms | d |
| 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)))) |
| 2.0ms | l |
| 2.0ms | h |
| 2.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.5% | 1 | M |
| 31.5% | 1 | (*.f64 M D) |
| 31.5% | 1 | l |
| 31.5% | 1 | h |
| 31.5% | 1 | D |
| 31.5% | 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)))) |
| 31.5% | 1 | d |
Compiled 43 to 53 computations (-23.3% saved)
Total -0.3b remaining (-0.6%)
Threshold costs -0.3b (-0.6%)
| 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 (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)) |
| 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:
| 11.0ms | h |
| 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 | d |
| 1.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.5% | 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)))) |
| 31.5% | 1 | (*.f64 M D) |
| 31.5% | 1 | M |
| 31.5% | 1 | D |
| 31.5% | 1 | h |
| 31.5% | 1 | d |
| 31.5% | 1 | l |
Compiled 43 to 53 computations (-23.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | -1.0978866137870663e-306 | 3.4671110672582914e-306 |
| 15.0ms | -4.3751274460569467e+83 | -3.990710082023054e+83 |
| 35.0ms | 191× | 0 | invalid |
| 23.0ms | 160× | 0 | valid |
Compiled 776 to 610 computations (21.4% saved)
ival-div!: 18.0ms (40.5% of total)ival-pow: 11.0ms (24.8% of total)ival-mult!: 11.0ms (24.8% of total)ival-pow2: 4.0ms (9% of total)ival-sub!: 1.0ms (2.3% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -9.024384623575535e-291 | 1.5581465758981177e-308 |
| 82.0ms | -6.776138343106966e+64 | -1.1006977039674876e+49 |
| 67.0ms | 340× | 0 | invalid |
| 43.0ms | 320× | 0 | valid |
Compiled 1 628 to 1 180 computations (27.5% saved)
ival-mult!: 39.0ms (45.1% of total)ival-pow: 21.0ms (24.3% of total)ival-div!: 17.0ms (19.6% of total)ival-pow2: 8.0ms (9.2% of total)ival-sub!: 2.0ms (2.3% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.1627865700438646e-303 | 1.6322147670651853e-300 |
| 55.0ms | -1.6126227054346368e-54 | -2.243493747414624e-56 |
| 38.0ms | 240× | 0 | valid |
| 24.0ms | 239× | 0 | invalid |
Compiled 1 906 to 1 208 computations (36.6% saved)
ival-pow: 16.0ms (35.8% of total)ival-mult!: 11.0ms (24.6% of total)ival-div!: 10.0ms (22.3% of total)ival-pow2: 6.0ms (13.4% of total)ival-sub!: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 103.0ms | 1.1627865700438646e-303 | 1.6322147670651853e-300 |
| 47.0ms | -3.941720055177504e-174 | -1.1965614158281241e-178 |
| 71.0ms | 240× | 0 | valid |
| 60.0ms | 262× | 0 | invalid |
Compiled 1 534 to 1 062 computations (30.8% saved)
ival-div!: 47.0ms (41.6% of total)ival-mult!: 46.0ms (40.7% of total)ival-pow: 13.0ms (11.5% of total)ival-pow2: 6.0ms (5.3% of total)ival-sub!: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 5.193569202895112e-274 | 1.2579272850916603e-271 |
| 17.0ms | 112× | 0 | valid |
| 16.0ms | 122× | 0 | invalid |
Compiled 563 to 429 computations (23.8% saved)
ival-pow: 8.0ms (36% of total)ival-mult!: 6.0ms (27% of total)ival-div!: 5.0ms (22.5% of total)ival-pow2: 3.0ms (13.5% of total)ival-sub!: 1.0ms (4.5% of total)adjust: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.8324522617345567e+261 | 4.663180325116199e+263 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.8324522617345567e+261 | 4.663180325116199e+263 |
| 0.0ms | -1.946126434886163e-96 | -3.0974564266144967e-115 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.8324522617345567e+261 | 4.663180325116199e+263 |
| 0.0ms | -3.0974564266144967e-115 | -3.322824912590496e-249 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.8324522617345567e+261 | 4.663180325116199e+263 |
| 0.0ms | -3.322824912590496e-249 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.8324522617345567e+261 | 4.663180325116199e+263 |
| 0.0ms | -3.322824912590496e-249 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -3.322824912590496e-249 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | -4.807269852716626e-99 | -7.271094326576659e-101 |
| 20.0ms | 112× | 0 | valid |
| 14.0ms | 138× | 0 | invalid |
Compiled 822 to 520 computations (36.7% saved)
ival-div!: 10.0ms (40.6% of total)ival-mult!: 6.0ms (24.3% of total)ival-pow: 5.0ms (20.3% of total)ival-pow2: 3.0ms (12.2% of total)ival-sub!: 1.0ms (4.1% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 2 746 to 240 computations (91.3% saved)
(sort M D)
(abs D)
(abs M)
Compiled 22 676 to 6 456 computations (71.5% saved)
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